Find the value of `int_0^(pi/2)sin2xlogtanxdx`

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

Find the value of int_0^1{(sin^(-1)x)}dx

Evaluate : int_0^(pi/2) (sinx+cosx) dx

Find the value of int_(0)^(100pi)sin^(-1)(sin x)dx .

The value of int_0^(pi/2) sin|2x-alpha|dx, where alpha in [0,pi], is (a) 1-cos alpha (b) 1+cos alpha (c) 1 (d) cos alpha

Evaluate: int_0^(pi/2)|sinx-cosx|dx

Evaluate int_(0)^(pi/2)logsinxdx

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