int_(0)^((3)/(4))log(1+cos x)dx

int_(0)^((pi)/(2))log(cos x)dx=

Evaluate int_(0)^((pi)/(4))log(1+tan x)dx

Evaluate :int_(0)^((pi)/(4))log(1+tan x)dx

int_(0)^(pi) log(1 + cos x)dx .

Prove that, int_(0)^(pi)log(1+cos x)dx=-pi log2 , given int_(0)^((pi)/(2))log((sin x))dx=(pi)/(2)"log"(1)/(2) .

The value of int_(0)^((pi)/(2))log[(3+5cos x)/(3+5sin x)]dx is

Find I=int_(0)^( pi)ln(1+cos x)dx

int_(0)^((pi)/(4))log((sin x+cos x)/(cos x))dx

If|a|lt 1, show that int _(0)^(pi)(log(1+a cos x ))/( cos x)dx =pi sin^(-1) a