5.4 Indefinite Integrals and the Net Change Theorem/9

${\begin{aligned}\int \left((1-t)(2+t^{2})\right)dt=\int (2+t^{2}-2t-t^{3})dt=2t+{\frac {t^{3}}{3}}-{\frac {2t^{2}}{2}}-{\frac {t^{4}}{4}}+C=2t-t^{2}+{\frac {t^{3}}{3}}-{\frac {t^{4}}{4}}+C\end{aligned}}$