5.4 Indefinite Integrals and the Net Change Theorem/9

From Mr. V Wiki Math
Jump to navigation Jump to search

Failed to parse (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\begin{aligned}\int \left((1-t)(2+t^{2})\right)dt=\int (2+t^{2}-2t-t^{3})dt=2t+{\frac {t^{3}}{3}}-{\frac {2t^{2}}{2}}-{\frac {t^{4}}{4}}+C=2t-t^{2}+{\frac {t^{3}}{3}}-{\frac {t^{4}}{4}}+C\end{aligned}}}