Wolfram says:
http://integrals.wolfram.com/index.jsp?expr=e%5Ex%2F%281+-+e%5E%282x%29%29%5E%283%2F2%29&random=false
the integration of (e^x)/(1-E^2x)^3/2 with respect to x
We are currently doing integration by tables, but I can't find the formula that I should use!
2 answers
If u = e^x, then
(e^x)/(1-e^2x)^3/2 dx
= du/(1-u^2)^3/2
Now you can easily find that the integral is
u/√(1-u^2)
which is what Reiny provided.
(e^x)/(1-e^2x)^3/2 dx
= du/(1-u^2)^3/2
Now you can easily find that the integral is
u/√(1-u^2)
which is what Reiny provided.