作业帮设函数f(x)=e^-x,则∫[f'(Inx)\x]dx=?要过程
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/27 15:51:17
![设函数f(x)=e^-x,则∫[f'(Inx)\x]dx=?要过程](/uploads/image/z/8706159-63-9.jpg?t=%E8%AE%BE%E5%87%BD%E6%95%B0f%28x%29%3De%5E-x%2C%E5%88%99%E2%88%AB%5Bf%27%28Inx%29%5Cx%5Ddx%3D%3F%E8%A6%81%E8%BF%87%E7%A8%8B)
x){nϦnHӨдMӭy1Q4u
ϼ
ؔ͘
[_o&H ]v6U[ ᫃tQEr`b>
cVUA TWUi;$ف =v~
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