Theta=int_(0)^( pi/4)log(1+tan theta)d theta

If int_(0)^( pi/2)log sin xdx=k, then the value of the definite integral int_(0)^( pi/4)log(1+tan theta)d theta( i) -(K)/(8)( ii) -(K)/(4) (iii) (K)/(8) (iv) (K)/(4)

Evaluate int_(0)^(pi//4) log (1+tan theta)d theta

The value of int_(0)^(pi//4) log (1+ tan theta ) d theta is equal to

The value of int_(0)^(pi//4) log (1+ tan theta ) d theta is equal to

Evaluate int_(0)^(pi//4) log (1+tan theta)d theta

Evaluate: int_(0)^((pi)/(4))log(1+tantheta)d theta

Evaluate : int_(0)^((pi)/(4)) log(1+tan theta ) d theta

STATEMENT 1: int_(0)^((pi)/(4))log(1+tan theta)d theta=(pi)/(8)log2 STATEMENT 2:int_(0)^((pi)/(2))log sin theta d theta=-pi log2

Evalute: int_(0)^((pi)/(4)) log(1+tantheta)d theta .

Prove that int_(0)^( pi/2)log(tan theta+cot theta)backslash d theta=pi log2