5.4 Indefinite Integrals and the Net Change Theorem/29
< 5.4 Indefinite Integrals and the Net Change Theorem
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Revision as of 15:19, 21 September 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 _{-2}^{-1}\left(4y^{3}+{\frac {2}{y^{3}}}\right)dy&=\int _{-2}^{-1}\left(4y^{3}+2y^{-3}\right)dy\\[2ex]&=\left[y^{4}-y^{-}2\right]_{-2}^{-1}\\[2ex]&=(1-1)-\left(16-{\frac {1}{4}}\right)\\[2ex]&={\frac {-63}{4}}\end{aligned}}}