`int_0^(2pi)e^(costheta)cos(sintheta)d theta`

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

int_(0)^(pi//3)(costheta)/(5-4sintheta)d theta equal to

int_0^(pi/2) (a+bsintheta)^3costheta d theta

int_0^(pi/2) (a+bsintheta)^3costheta d theta

Prove that int_0^(pi/2)(costheta-sintheta)/(1+sintheta.costheta)d theta=0.

int_0^(pi/2) sqrt(sintheta)cos^5theta d theta

int_0^(pi/2) sqrt(sintheta)cos^5theta d theta

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

Show that int_0^(pi/2)sqrt((sin2theta))sintheta d theta=pi/4

Show that int_0^(pi/2)sqrt((sin2theta))sintheta d theta=pi/4