integration

[green world]

integrate 2pi*e^(-x)*sqrt(1+(-e^(-x))^2))dx from 0 to infinity

 

[Deleted member 4993]

integrate 2pi*e^(-x)*sqrt(1+(-e^(-x))^2))dx from 0 to infinity

Please share your work with us, indicating exactly where you are stuck - so that we may know where to begin to help you.

 

[pka]

integrate 2pi*e^(-x)*sqrt(1+(-e^(-x))^2))dx from 0 to infinity

Here is a hint.

 

[galactus]

Let \(\displaystyle t=e^{-x}, \;\ dt = -e^{-x}dx\)

Make the subs and be careful with your negative signs when you change limits of integration.