求解 ∫ (from 2 to pi) of e^-stsin(t)dt

$$\int_{ 2 }^{ \pi } { e }^{ -st } \sin ( t ) d t$$

求值

$$\frac{e^{\left(-\pi -2\right)s}\left(\sin(2)se^{\pi s}+\cos(2)e^{\pi s}+e^{2s}\right)}{s^{2}+1}$$

关于 s 的微分

$$\frac{\frac{\left(-2\sin(2)s+\sin(2)-2\cos(2)\right)\left(s^{2}+1\right)+2s\left(-\sin(2)s-\cos(2)\right)}{\left(e^{s}\right)^{2}}-\pi s^{2}e^{\left(2\left(-\pi -2\right)+\pi +4\right)s}-2se^{-\pi s}-\pi e^{\left(2\left(-\pi -2\right)+\pi +4\right)s}}{\left(s^{2}+1\right)^{2}}$$