12*int_(0)^((pi)/(2))cos^(2)xdx

int_(0)^((pi)/(4))cos^(2)xdx

int_(0)^((pi)/(2))cos^(4)xdx

int_(0)^((pi)/(2))cos^(8)xdx

Show that, int_(-(pi)/(2))^((pi)/(2))cos^(5)xdx=2int_(0)^((pi)/(2))cos^(5)xdx and find the value of int_(-(pi)/(2))^((pi)/(2))cos^(5)xdx .

Prove that, int_(-(pi)/(2))^((pi)/(2))cos^(3)xdx=2int_(0)^((pi)/(2))cos^(3)xdx , hence, find the value of int_(-(pi)/(2))^((pi)/(2))cos^(3)xdx

Show that int_(0)^((pi)/(2))sin^(2)xdx=int_(0)^((pi)/(2))cos^(2)xdx=pi/4 .

Prove that int_(0)^((pi)/(2))sin^(2)xdx=int_(0)^((pi)/(2))cos^(2)xdx=(pi)/(4)

Evaluate the definite integrals int_(0)^((pi)/(2))cos^(2)xdx

Evaluate: int_(0)^((pi)/(2))cos^(2)xdx

int_(0)^((pi)/(2))cos^(5)xdx=(8)/(15)