`int_(0)^( pi)x sin x cos xdx`

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

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

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

int_(0)^( pi)sin x cos3xdx=

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

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

Evaluate the following integrals: (1-35)int_(0)^( pi)x sin x cos^(2)xdx

Evaluate the following integral: int_(0)^( pi)x sin x cos^(4)xdx

int_(0)^(pi)x sin xdx=

STATEMENT 1:int_(0)^( pi)x sin x cos^(2)xdx=(pi)/(2)int_(0)^( pi)sin x cos^(2)xdxint_(b)^(b)xf(x)dx=(a+b)/(2)int_(a)^(b)f(x)dx