5.4 Indefinite Integrals and the Net Change Theorem/30
< 5.4 Indefinite Integrals and the Net Change Theorem
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Revision as of 18:10, 26 August 2022 by Dvaezazizi@laalliance.org (talk | contribs)
Failed to parse (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\begin{aligned}\int _{1}^{2}{\frac {y+5y^{7}}{y^{3}}}dy&=\int _{1}^{2}\left({\frac {y}{y^{3}}}+{\frac {5y^{7}}{y^{3}}}\right)dy=\int _{1}^{2}(y^{-2}+5y^{4})dy\\[2ex]&={\frac {y^{-2+1}}{-2+1}}+{\frac {5y^{4+1}}{4+1}}{\bigg |}_{1}^{2}\end{aligned}}}