设函数f(x)=e^-x,则∫[f'(Inx)\x]dx=?要过程

来源：学生作业帮助网编辑：六六作业网时间：2024/11/18 06:23:52

设函数f(x)=e^-x,则∫[f''(Inx)\x]dx=?要过程设函数f(x)=e^-x,则∫[f''(Inx)\x]dx=?要过程设函数f(x)=e^-x,则∫[f''(Inx)\x]dx=?要过程f

设函数f(x)=e^-x,则∫[f'(Inx)\x]dx=?要过程
设函数f(x)=e^-x,则∫[f'(Inx)\x]dx=?要过程

设函数f(x)=e^-x,则∫[f'(Inx)\x]dx=?要过程
f(x)=e^(-x)
f'(x)=-e^(-x)
f'(lnx)=-e^(-lnx)=-1/e^(lnx)=-1/x
∫[f'(lnx)/x]dx=∫[-dx/x^2]=1/x+C