Question

Using a suitable substitution show that integrate {[ln|1+x|]/[1+(x)^2]} from 0-1 = (π/8)ln|2|

On this one, I don't really have any ideas of going forward solving this.I don't see a substitution which will simply the integral.

Answer 1

try using
x = tanθ
dx = sec^2θ dθ

see where that takes you!

Answer 2

That worked!!! Thank you very much!