" 13."int_((-pi)/(2))^((pi)/(2))sin^(7)xdxquad 14" ."

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

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

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

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

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

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

By using the properties of definite integrals, evaluate the integrals int_((-pi)/(2))^((pi)/(2))sin^(7)xdx

By using the properties of definite integrals, evaluate the integrals int_((-pi)/(2))^((pi)/(2))sin^(7)xdx

int_((-pi)/(4))^((pi)/(2))e^(-x)sin xdx=

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