{"id":7604,"date":"2022-04-15T17:47:46","date_gmt":"2022-04-15T12:17:46","guid":{"rendered":"https:\/\/www.goseeko.com\/blog\/?p=7604"},"modified":"2025-06-02T20:51:02","modified_gmt":"2025-06-02T15:21:02","slug":"what-is-integration%ef%bf%bc","status":"publish","type":"post","link":"https:\/\/www.goseeko.com\/blog\/what-is-integration%ef%bf%bc\/","title":{"rendered":"What is integration?\ufffc"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\"><strong>Introduction (Integration)<\/strong><\/h2>\n\n\n\n<p><a href=\"https:\/\/www.mathsisfun.com\/calculus\/integration-introduction.html\" target=\"_blank\" rel=\"noreferrer noopener\">Integration<\/a> is the reverse process of differentiation. It is also called anti-differentiation.<\/p>\n\n\n\n<p>Integral calculus has its own application in economics, Engineering, Physics, Chemistry, business, commerce, etc.<\/p>\n\n\n\n<p>The integral of a function is denoted by the sign <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/xFOqbhapCfBa4bmqj1hk6rY2obLONYwPQcsz11Cw7oNwMupHgG9ryy2s0LTsFoodlA9P-u362FnfGcP6jWxcvGjkYyLXx0tIkO1QrHF8xJPAsLxkISlz_9D6YJAgIRB7K6Hpv4FF\" width=\"29\" height=\"22\"><\/p>\n\n\n\n<p>Let the function is y = f(x),<\/p>\n\n\n\n<p>Its derivative is- <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/zN6e7wXzZrvem0fvMooEwy75yRtRNb0BBu7jzMu5VylCRl8toWP7D1aW8CkqPAMRWo301D6fpOBIGyT0X-P7AY48lJA3vBlmcbXlrktxRH-b8cd8_8_H1f7FfsHeFuooPBKwVHgm\" width=\"87\" height=\"46\"><\/p>\n\n\n\n<p>Then<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/GsmI-9fqSvwq1yDZc8c2AUwGyeAOcyKiPHuOJ4I4m_0Dcp0a4isXmAVMxPrW4VaFKvTcTsgZ_BTH3hDq2a38Z92cBHrVqxKrM8P8sXG1Cg-Jqe3D1GAClxvXMzC-nhaBarYpWWNY\" alt=\"\" \/><\/figure>\n\n\n\n<p>Where c is the arbitrary constant.<\/p>\n\n\n\n<p>For example,<\/p>\n\n\n\n<p>A function, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/LIY7xD-uKZebwwAlc8mPk3IDLpY39pGgSJhpiUxyFI20o-wXd_MN1jgF7RdXkpHqJ3kGyReePvd6Du-Hvtmn2Fr6_vP_E00qlPjU7hzIAqylvusTU_a8VHgVy5Arh56DraYDBsTy\" width=\"129\" height=\"22\"><\/p>\n\n\n\n<p>Then, its derivative-<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/yyHgYMXxJ8tYbvQ8F-h2Du8BW6O44HkJwktZVxyR6rQmUnl5ZxaQvvKVsIAtuBzJH-7mlYmA1jo4HW0BxAUJKiPIaWz7gJA6rqkZVm00sOMoY7mLFrYYPf5xBdo6UfQ1KMFjPSyO\" alt=\"\" \/><\/figure>\n\n\n\n<p>Or<\/p>\n\n\n\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/oAZGXyfesPW82ieKJQrJIQD3MuowHTSeZ0acw-D3g7MWuppT5e0y6Qk8NX__axrUp4EsjbU9wktlT-hE8KR9w-ap4KggHqOd8Ryz1zCTQ9i8HKxW_HK6zxoLsWDS23ZKqP0k6LXd\" width=\"136\" height=\"22\">Then-<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/-UoYJylH4-Qh3ZiIyqvJwhI845-4mytHjMpux4kJwdmJyf-7MN8_bXnDh8tiXSrwkL_y4ma7ZiuFl_jA-0gK6VYad_FYqSyGPNkfoUpH08n4coFBev_IzcHmjzvCvfEnOSUIeo4f\" alt=\"\" \/><\/figure>\n\n\n\n<p>Here c is an arbitrary constant.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Some fundamental integrals<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/i8OUJ3ejyYO_lZWY6flrzNjlRraZih5_b-t8bGXuWPsgdQGPsTJ7xj7auan44HFkBQIuQkt3bCOwOGaYsFtaPH1XsqfpN9f7w9ogwABA4a7loDj3poXvCjH4LPx3mCKz-RszQOsB\" alt=\"\" width=\"296\" height=\"51\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/IfhOushbBDlPkbzD1dzdHRKsaEZb7GNJNQQBzsGJa1Bohu80miqujHb9yZW2vaVQnV5ODo8JPqEiFg5NfKGeVderUR3_1D_gIWkG5tTr1LiRthUazFVFClX2UhMXAqlqqL0Irx5E\" alt=\"\" width=\"125\" height=\"32\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/wsn7fMqDz8B3lux1a2nJkFlpdydTHS7MaDI8c2ey6vPp2rll62ecHvQJSm58divNCoOAIFz1o9KkJ9ukohMZwrXkWySCn8-yY-TS8LeyZqoyAv0CatAuT9eMC__lukR_r50qGdV9\" alt=\"\" width=\"209\" height=\"56\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/OO0LDg4U-9IlLF4jlEFFZ6_KetgPtqxrvzoAFQ7iBzEXtf-wK7CLY0iVOJ9kaE423utoSHONvrA1inHWsy0VzpnF5GF5PfWdreGZogMnLpq9pFWNEDFhFDtK9M5yCPm9r5xrWCbX\" alt=\"\" width=\"152\" height=\"41\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/vKhQlGAsVgRtV2vwQJo90JAikCcaVHTr5boCsBcX0hfpF2y0G51Koc-8ttrv7zrcJ9T7g6rC3HK5rNWQBObVM_VOj8sKutDhmIWpnh6_0MeCZUN2BV2_IB7SF5eCJmFgU0I7gPAb\" alt=\"\" width=\"298\" height=\"52\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/vDMhlPbbtXPZH85TtDkNRtsLyP647OnBepcXRu_qWfv8hH3tkwPfYjhUcZ13RxOh_Gm5FSDKv52UoHOzP8VZBH-c8DGK1zaR9BjIcmBZpKXPtMvbsWem51Sj2ad84MUl6zFBKJuV\" alt=\"\" width=\"184\" height=\"54\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/7AuGEERsjKMh7Hf3ps0n0PaHiCRryxMAgJlB1d6FjpmkmHWOyvfkivSKKabXRsVRzgheW6MAH_WNfbSXf3RCKTDG2bdbJ_08aMvcCLRehaCen_22P22ZUs93aBGF5ex7mOnWG-FP\" alt=\"\" width=\"187\" height=\"53\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Methods of integration<\/strong><\/h2>\n\n\n\n<p><strong>Simple integration-<\/strong><\/p>\n\n\n\n<p>1. &nbsp; &nbsp; When the function is an algebraic function-<\/p>\n\n\n\n<p>Some standard results-<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>If dy = f\u2019(x) dx, then <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/o-NpGewiWXmiJWaU2uwWSlj-R9vS12t2uz_6hWG_RZnffuBKjnRMCKpHTgf6FGYTtAMyIKNUHKRH3ZJyRulFWLtNoUhdldWLXfW06tkFyJXE3MTYfzR5LX1UupeRGD9Jr4feQSgy\" width=\"154\" height=\"28\"><\/li><li>If dy = a [f\u2019(x) dx] where a is constant, then- <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/SvDWG7gi1uXq1BTdifPNtynN6JjBGaXrY7nUhlZt0k6-Pv2VrL8AeCrdoC0wOmq6864ofQdwog-ANfnXeYwmZxyh_8hONqQtqpiY86R-vXTAPacgPGut_TSSnqKeC9299Hlui_1H\" width=\"270\" height=\"25\"><\/li><li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/musFMyvl9B7H6eqA-HMrP30Gg3GC2toglj4-OLlYoDviJq8QVw0gl7usBHRXERxtMhIteNyo3g3Df4e07Hqt8xIlcDdlAEEBdwE5v80jiSDczX_jTCh2M9OQFDswMVeMplYWKe0j\" width=\"583\" height=\"61\"><\/li><\/ol>\n\n\n\n<p>The integration of x^n will be as follows-<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/VXChE28nuL6zaTsIld2hjNDBr55Bodtd4LR-3GAX1K0EYStIk8ZMq4c-Yvqv5ui51PShZz8eBkUBSvPyOYz1ZRW2f6vaiab2jmtGcBE88zvnkXQuS_gnLO6PZhFYHnTLFydrkZqd\" alt=\"\" \/><\/figure>\n\n\n\n<p><strong>Example: Find the integral of-<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/YE8RD0NpKKOB7SZxRWmfq_eTAyp2z3Y_EhZH7xVTu-a9rmHhxbk_UwM-79P-A7PY8r3KzMHj1wdDzBfHEzpoaJPJee5c7Zp5ajoa-uUwudNQNVhr2bwKxFNGhrNLUPTmZ7rtsozF\" alt=\"\" \/><\/figure>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<p>We know that-<\/p>\n\n\n\n<p><img loading=\"lazy\" decoding=\"async\" width=\"151\" height=\"55\" src=\"https:\/\/lh4.googleusercontent.com\/GHa6uO0h-y1fO3OrpAqoowaeok9fO7VUbjaaMPhG-17HzAwh3ke5brqNG_2CT2NosWaeDqGrRdStV-jd7GyYoHkWyMcJXeYzVJbevSxX9SzNrjXqUpQnv1M4uUrRXeOjoG7sumSz\"><\/p>\n\n\n\n<p>hence,<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/moxVm40HPg3Zqzs2_rKbruKwvcaz6hfHLhNz6iEiX_APs3xAgS1Gb08YvAfzEVxdCmuUUdrtD8Dzq3yVVHzp2YOOYVbUgW7aNSn-DeKHibfkFyAJ9gynlyWcC7q_VkWYVuqWO_0x\" alt=\"\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/pBwI1m5KDkzK4QcExHbdxkOtwwn2Bad_hsPQzSb0oWcuT6kLj1GoVzxsHidFDJZAsvd2hU63-K0Ms4hNNT0Hj4XovL5WwBUWqeDEqW1t5GMYWJ5dT02W8UqfNuvh60McHL9xS2u1\" alt=\"\" \/><\/figure>\n\n\n\n<p><strong>Example: Find the integral<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/yO0yw9kd50F9lEIK-jxrNgqRuQ2T0Rwbpofz4scf9SofDIlL0Azw_8-mAyRvFgo7r3sBy0qx2-RhEYIVoa0UWM4ktYsbrBzcsXc5CqwV7ap54N2o3dYhvC0lxYO5EAviBnWa-XlY\" alt=\"\" \/><\/figure>\n\n\n\n<p>Sol.<\/p>\n\n\n\n<p>We know that-<\/p>\n\n\n\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/AssDm4dYANmA0VrKzpqMDD5j2r5Y74Wq6lB_lxWofkkka0y2t8bNVEIBuHt4NjPVIBfwVOjz50yg0mdTEaQSf6kbUUf3ZP-85T-LOR1GWpbyYBZRf89JYBo9FexhOFnpiPtV9QIp\" width=\"140\" height=\"47\">then<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/zpWM505nK0ISdL81oh8BbEkhuaLECIIIQtvKASHxzUxaOsrZQYyZY5SVEIngYGtuGY-3JDF1PeG6i4Q7xZfWQD2F4ZNL0kkNLh2z1Y8Il376RD6yDxNSY4UoLtBQsm5vsHXbC5pd\" alt=\"\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Integration by substitution<\/strong><\/h2>\n\n\n\n<p><strong>Example: Evaluate the following integral-<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/Nrr7j7E-YJUf5JsccVBQaxtWFQ01TWZ914AKkuWSDv_msSy4940Q1KkDRb8vPZ0HCDfFnmmEuvkigUnx-Ly5SuXqEX6PD91HSxgXhljbJc84bbgO2mNHig5p9vx3dXEpeBU9R1rq\" alt=\"\" \/><\/figure>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<p>Let us suppose,<\/p>\n\n\n\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/8GWLGj7EO58d2lAQLaHwww0i5uhmLF_lfND1zxmQT9WAH5QIrlqH-SgvHmw6F2vv5DD730qR-EMuInWNiMihblOGwMiRi4n0vH_OH0elhWuKsO9p2sSIGBxliKMAAD7wJV9qoe0-\" width=\"131\" height=\"27\">or<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/_Vm2fe7xp4Sz9GenFIx3o4p6ccbuGId80HxOvbzQ9X5fNrKq1Flo5VF4wYHRgZFrNmc8S5xOgZ6m2-DXutwT1bUrelA41vof3BK6lFfH8lkQ-yvGFFXT55S47IsG8zzrvhtEr7QY\" alt=\"\" \/><\/figure>\n\n\n\n<p>therefore, Substituting \u2013<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/i9KCONMiAtmTmuFy0OIzoMca_3gN27IiOWx590GewCuHRiF4PRMYVycItzDAcmYyiH06II4R1qdvwbQi3KgngDTGOpTRzd3r2E9MPIDsqWgIxFs3BEyL4TfK656qvvjIIL4SKSjU\" alt=\"\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Logarithmic function <\/strong><\/h2>\n\n\n\n<p><strong>Example: Evaluate the following integral-<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/VqnxkwaOgwktxru8U0KEyHFQkaA2nuAjOQgn0WRmlAGBkIeaybQ-N3pAo5xbRFwSPgf1P_x4oOJvfFoTquiEcPhGKwddSeMlXT7E2Tl96boCDm0XeaFOZdW-VGaGiW8-V6VHYKB8\" alt=\"\" \/><\/figure>\n\n\n\n<p><strong>Sol:<\/strong><\/p>\n\n\n\n<p><strong>Let us suppose-<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/aRjOpNC1sy88l16rlRAL3Fx_mqkSFYcsMfl25qqIuFqSKX3y9FLnUIBPEycJePAbGAl48W28uL8QqchmNNfArXrck3lOzr5XoB78m6TrKeHu-USaQhmWERtrbmusiogWmvWlO4sy\" alt=\"\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Integration of exponential function<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/X-p0DjSK3bkiQHdawZuGecSP6pdzyeFQPG5UnRO2PbyKt6qIKAPff7Ly6zXF3v5i0iCtuipDR39_W6kV-0BPrcCp2yOdO-WYZE9OT7Dy41XsrwKoHOE-hEnPUWvg15OnmLY3s4mv\" alt=\"\" \/><\/figure>\n\n\n\n<p><strong>Example: Evaluate-<\/strong><strong><\/strong><\/p>\n\n\n\n<p><strong>Sol:<\/strong><\/p>\n\n\n\n<p><strong>Let<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/sqLn9RSeTiXapylM7vo68Q13Ic1lTGL3yAE7tKcqz4OqncS-ON1HFpzac_EaxPDwZfYvIufjkfkuHu1FhR7OGM88o3yh5bTJGI2zVDXBN483PdLFWzGA6GZ8GUiVwdOktlt1n3Vk\" alt=\"\" \/><\/figure>\n\n\n\n<p>Now substituting-<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/x01NJOp-K1Jy5wO0p2DxRv1f_ummo1NnuFpdy6PZk43pLQiey89mNG-pfMhflqBMcyoHqubYe7-tRhc1QqIIcGUfuuekvkqLwXsOK2lhohT0_6oyVl8YVQ7swQi0jmTrLQbt9eRx\" alt=\"\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Method for <strong>product of two functions<\/strong><\/h2>\n\n\n\n<p>Suppose we have two function say- f(x) and g(x), then<\/p>\n\n\n\n<p>The integral of product of these two functions is-<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/ag2-q_ZRfaGAFOQBa2z0yQdbNbyNkFM9p-6DQvC6jzUg9JfvMGxl3B02RKsdCnUqVnDNDpMnJaMsGaJS6ZnB99PmGJGRGKubWu-g84homxtmbLsWnBpZIH7N28I-4bEBsniIOcxg\" alt=\"\" \/><\/figure>\n\n\n\n<p><strong>Note-<\/strong><\/p>\n\n\n\n<p><strong>We chose the first function as method of ILATE-<\/strong><\/p>\n\n\n\n<p><strong>Which is-<\/strong><\/p>\n\n\n\n<p><strong>I \u2013 Inverse trigonometric function<\/strong><\/p>\n\n\n\n<p><strong>L \u2013 Log function<\/strong><\/p>\n\n\n\n<p><strong>A \u2013 Algebraic function<\/strong><\/p>\n\n\n\n<p><strong>T- Trigonometric function<\/strong><\/p>\n\n\n\n<p><strong>E- Exponential function<\/strong><\/p>\n\n\n\n<p><strong>Example: Evaluate-<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/rWgrFmrG3vtsG_6UgD8bBn-pLvOzcAe3i3a-n2qQcp71d0tEni6PSNZwfaODLNpNKUW2ylGiDQIN3FQIcEK4V92acspPYQdzBw1KI7TIF2oL_oW0DkbA7asvQaPH63Vr0qxqkZRb\" alt=\"\" \/><\/figure>\n\n\n\n<p><strong>Sol:<\/strong><\/p>\n\n\n\n<p>Here according to ILATE,<\/p>\n\n\n\n<p>First function = log x<\/p>\n\n\n\n<p>Second function =x^n<\/p>\n\n\n\n<p>We know that-<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/NgMaYUMnkA2tNXT6vtCTs5be4EhjU9eRBU5lU0gcRBtw80KLqZWR84AohtPF6jJOcyd4nDdi4RouorX9N3wJoBDhpqm43kMUbPr3Ig6ioFN_WIKZbMd8JcvxOOj8eLeYg4pM6NA8\" alt=\"\" \/><\/figure>\n\n\n\n<p>Then-<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/yNoDuEx1_gnGznSvvIhJYtMBXgGHBsXuNdXbBoZe_U0ePYkl5aeV5nGIwl-fydSTfUfDeEXkdJsosfwTsjo57RpWwWG1IMz49Ojm-GVFo3Op0SCDfihV5Cdf334OxzckbRfo_BAt\" alt=\"\" \/><\/figure>\n\n\n\n<p>On solving, we get-<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/R-hU9s2azQjZhzQJzglOJZhpr_eOkI_UmPRqaznCms80MsZN5roGDtl5jl6S1ehMhiQR0klznsi7FH_otKzW3j8woiV4ul15S8XZcKLv-kge-WIeb9Pyt2giku42M5a50vul23JK\" alt=\"\" \/><\/figure>\n\n\n\n<p>Interested in learning about similar topics? Here are a few hand-picked blogs for you!<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"https:\/\/www.goseeko.com\/blog\/what-is-the-mean-deviation\" target=\"_blank\" rel=\"noreferrer noopener\">Mean deviation?<\/a><\/li><li><a href=\"https:\/\/www.goseeko.com\/blog\/what-is-bayes-theorem\" target=\"_blank\" rel=\"noreferrer noopener\">Bayes theorem?<\/a><\/li><li><a href=\"https:\/\/www.goseeko.com\/blog\/what-is-the-testing-of-hypothesis\" target=\"_blank\" rel=\"noreferrer noopener\">What is testing of hypothesis?<\/a><\/li><li><a href=\"https:\/\/www.goseeko.com\/blog\/what-is-linear-programming\" target=\"_blank\" rel=\"noreferrer noopener\">What is linear programming?<\/a><\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Integration is the reverse process of differentiation. It is also called anti-differentiation.<\/p>\n","protected":false},"author":3,"featured_media":5514,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[31],"tags":[],"class_list":["post-7604","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-maths"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.3.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>What is integration?\ufffc - Goseeko blog<\/title>\n<meta name=\"description\" content=\"Integration is the reverse process of differentiation. It is also called anti-differentiation.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.goseeko.com\/blog\/what-is-integration\ufffc\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What is integration?\ufffc - Goseeko blog\" \/>\n<meta property=\"og:description\" content=\"Integration is the reverse process of differentiation. It is also called anti-differentiation.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.goseeko.com\/blog\/what-is-integration\ufffc\/\" \/>\n<meta property=\"og:site_name\" content=\"Goseeko blog\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/goseeko\" \/>\n<meta property=\"article:published_time\" content=\"2022-04-15T12:17:46+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-06-02T15:21:02+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.goseeko.com\/blog\/wp-content\/uploads\/2021\/08\/pexels-karolina-grabowska-6256061-scaled-1.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"2560\" \/>\n\t<meta property=\"og:image:height\" content=\"1707\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Team Goseeko\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@goseeko\" \/>\n<meta name=\"twitter:site\" content=\"@goseeko\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Team Goseeko\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"10 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/www.goseeko.com\/blog\/what-is-integration%ef%bf%bc\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.goseeko.com\/blog\/what-is-integration%ef%bf%bc\/\"},\"author\":{\"name\":\"Team Goseeko\",\"@id\":\"https:\/\/www.goseeko.com\/blog\/#\/schema\/person\/7ec300cd01b6116501943af14d546bae\"},\"headline\":\"What is integration?\ufffc\",\"datePublished\":\"2022-04-15T12:17:46+00:00\",\"dateModified\":\"2025-06-02T15:21:02+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.goseeko.com\/blog\/what-is-integration%ef%bf%bc\/\"},\"wordCount\":279,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/www.goseeko.com\/blog\/#organization\"},\"image\":{\"@id\":\"https:\/\/www.goseeko.com\/blog\/what-is-integration%ef%bf%bc\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/i0.wp.com\/www.goseeko.com\/blog\/wp-content\/uploads\/2021\/08\/pexels-karolina-grabowska-6256061-scaled-1.jpg?fit=2560%2C1707&ssl=1\",\"articleSection\":[\"Maths\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/www.goseeko.com\/blog\/what-is-integration%ef%bf%bc\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.goseeko.com\/blog\/what-is-integration%ef%bf%bc\/\",\"url\":\"https:\/\/www.goseeko.com\/blog\/what-is-integration%ef%bf%bc\/\",\"name\":\"What is integration?\ufffc - Goseeko blog\",\"isPartOf\":{\"@id\":\"https:\/\/www.goseeko.com\/blog\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/www.goseeko.com\/blog\/what-is-integration%ef%bf%bc\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/www.goseeko.com\/blog\/what-is-integration%ef%bf%bc\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/i0.wp.com\/www.goseeko.com\/blog\/wp-content\/uploads\/2021\/08\/pexels-karolina-grabowska-6256061-scaled-1.jpg?fit=2560%2C1707&ssl=1\",\"datePublished\":\"2022-04-15T12:17:46+00:00\",\"dateModified\":\"2025-06-02T15:21:02+00:00\",\"description\":\"Integration is the reverse process of differentiation. 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