다음을 풀어보세요: ∫ e^4t-st*t^2dt

$$\int e ^ { 4 t - s t } \cdot t ^ { 2 } d t$$

계산

$$\left\{\begin{matrix}\frac{2e^{t\left(-s+4\right)}+\left(st\right)^{2}e^{t\left(-s+4\right)}-8te^{t\left(-s+4\right)}+16t^{2}e^{t\left(-s+4\right)}+2ste^{t\left(-s+4\right)}-8st^{2}e^{t\left(-s+4\right)}}{\left(4-s\right)^{3}}+С,&s\neq 4\\\frac{t^{3}}{3}+С,&s=4\end{matrix}\right.$$

t 관련 미분

$$t^{2}e^{t\left(4-s\right)}$$