积分x/(sinx)^2dx=?

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/16 10:09:06
积分x/(sinx)^2dx=?积分x/(sinx)^2dx=?积分x/(sinx)^2dx=?∫x/(sinx)^2dx=-∫xd(cosx/sinx)=-x*cotx+∫cosx/sinxdx=-

积分x/(sinx)^2dx=?
积分x/(sinx)^2dx=?

积分x/(sinx)^2dx=?
∫ x/(sinx)^2 dx
=-∫ x d(cosx/sinx)
=-x*cotx+∫ cosx/sinx dx
=-x*cotx+∫ d(sinx) /sinx
=-xcotx+ln(sinx) +C