I = \int_{0}^{\Pi /4}{x sec^{2}x/(1+tanx)} dx
Put 1 + tanx = p
Use Integration By parts
I = x ln p - ∫ lnp
Hope u can solve further
I = \int_{0}^{\Pi /4}{x sec^{2}x/(1+tanx)} dx
Put 1 + tanx = p
Use Integration By parts
I = x ln p - ∫ lnp
Hope u can solve further