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

Evaluate the definite integral int_(0)^((pi)/(2))2cos^(2)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_(-(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 .

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

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

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

Evaluate the definite integrals int_(0)^((pi)/(2))cos2xdx

Evaluate the definite integral int_(0)^((pi)/(2))2cos2xdx

By using the properties of definite integrals, evaluate the integrals int_(0)^(pi/2)2cos^(2)xdx

" 3."int_(0)^((pi)/(2))cos^(7)x sin^(2)xdx