int_(0)^((pi)/(4))log8in^(2)theta d theta

int_(0)^((pi)/(4))log(sin2 theta)d theta=-((pi)/(4))log((1)/(2))

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

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

If int_(0)^((pi)/(2))log sin theta d(theta)=k, then find the value of int_(0)^((pi)/(2))((theta)/(sin theta))^(2)d(theta) in terms of k

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

The value of int_(0)^((pi)/(8))cos^(3)4 theta d theta is equal to -

The value of the integral int _(0) ^((pi)/(2)) log theta d theta is

int_(0)^((pi)/(4))theta sec^(2)theta d theta

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

The value of int_(0)^((pi)/(2))log(sin^(2)theta+k^(2)cos^(2)theta)d theta where k>=0, is: