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

Consider the definite integrals A=int_(0)^(pi)sinx cosx^(2)xdx and B=int_(0)^((pi)/(2))sinx cos^(2)xdx . Then,

3. int_(0)^( pi/2)sin^(2)x cos^(4)xdx

find the value of int_(0)^( pi/2)cos^(2)xdx

Evaluate : int_(0)^(pi//2)sin^(8)xdx

Evaluate : int_(0)^(pi//2)sin^(9)x cos^(7)xdx

Evaluate : int_(0)^(pi//2)cos^(9)xdx

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

(i) int_(0)^( pi)x cos^(2)xdx

Evaluate int_(0)^(pi)sin^(3)x*cos^(4)xdx

int_(0)^(pi) sin^(4) x cos^(2)xdx =