Question

100 б ,интеграл (xcosx+sinx)/(xsinx)^2
; (​

Answer 1

$\displaystyle \int \dfrac{x\cos x+\sin x}{(x\sin x)^2}dx=\int \dfrac{d(x\sin x)}{(x\sin x)^2}=-\dfrac{1}{x\sin x}+C$

ответ: $-\dfrac{1}{x\sin x}+C$