If `int_0^(pi/2)logsinthetad(theta)=k ,` then find the value of `int_0^(pi/2)(theta/(sintheta))^2d(theta)` in terms of `k`

If int_0^(pi/2)logsinthetadtheta=k , then find the value of int_pi^(pi/2)(theta/(s intheta))^2dtheta in terms of k

int_0^(pi/2) 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

Find the value of int_0^pi (d theta)/(1-2sin^2 theta)

int_(0)^(pi)(sin4theta)/(sintheta)d theta=0

9. int_0^(pi/2)sec^4theta d theta

int_(0)^( pi/2)sin^(2)theta d theta=

int_(0)^( pi/2)sin^(2)theta d theta=

int_(0)^( pi/2)sin^(3)theta d theta=

int_(0)^(pi)|costheta-sintheta|d""theta