" 13.Evaluate "int_((-pi)/(2))^((pi)/(2))sin^(5)xdx

int_(-(pi)/(2))^((pi)/(2))sin^(7)xdx=0

Evaluate int_(-(pi)/(4))^((pi)/(4))sin^(2)xdx

Evaluate int_(-(pi)/(2))^((pi)/(2))x^(2)sin xdx

Examples: int_(-(pi)/(2))^((pi)/(2))sin^(2)xdx

int_(-(pi)/(2))^(pi/2)x sin^(2)xdx

int_(0)^((pi)/(2))sin^(2)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_(-pi//2)^(pi//2)sin^(5)xcos^(4)xdx

int_(0)^((pi)/(2))sin^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