Find `int_(0)^( pi/2)*(cos^(3)x)dx`

int_(0)^(pi/2) cos^(2) x dx

int_(0)^(pi//4) cos^(2) x dx

int_(0)^(pi//2) cos 3x dx

int_(0)^( pi)(dx)/(1+cos^(2)x)

Evaluate the following : int_(0)^(pi//2) cos^(2) " x dx"

If A = int_(0)^((pi)/(2))(sin^(3)x)/(1+cos^(2)s)dx and B=int_(0)^((pi)/(2))(cos^(2)x)/(1+sin^(2)x)dx , then (2A)/(B) is equal to

If int_(0)^(npi) f(cos^(2)x)dx=k int_(0)^(pi) f(cos^(2)x)dx , then the value of k, is

int_(0)^(pi/2) cos 2x dx

int_(0)^(pi//2) (1)/(4+3 cos x)dx

int_(0)^(pi//2) x^(2) cos x dx