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.

2 answers

try using
x = tanθ
dx = sec^2θ dθ

see where that takes you!
That worked!!! Thank you very much!
Similar Questions
  1. How do we integrate {[1/(√(1-x^2) )]*[ln|(2x+3)(√(1-x^2))] } ?Is there any suitable substitution or do we have to do this by
    1. answers icon 3 answers
    1. answers icon 2 answers
  2. Please can anyone help with the following problems - thanks.1) Integrate X^4 e^x dx 2) Integrate Cos^5(x) dx 3) Integrate
    1. answers icon 0 answers
    1. answers icon 1 answer
more similar questions