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

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

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

int_(0)^( pi/2)cos^(3)xdx

int_(0)^( pi/2)cos^(6)xdx

I=int_( of k?)^(2 pi)sin^(4)xdx=k int_(0)^( pi/2)cos^(4)xdx find value

prove that int_(0)^( pi)x cos^(2)xdx=(pi^(2))/(4)

If a, b, c are the values of int_(0)^(pi//2)cos^(5)xdx,int_(0)^(pi//2)cos^(7)xdx,int_(0)^(pi//2)cos^(9)xdx then the descending order of a, b, c is

int_(0)^(pi//2)cos^(7)xdx=

If I_(1)=int_(0)^(pi//4)sin^(2)xdx and I_(2)=int_(0)^(pi//4)cos^(2)xdx , then

If I_(1)int_(0)^(pi//4)sin^(2)xdx and I_(2)=int_(0)^(pi//4)cos^(2)xdx , then,