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

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

" 4."int_(0)^( pi)x cos xdx=-2

If f:[0,pi]rarr R is continuous and int_(0)^( pi)f(x)sin xdx=int_(0)^( pi)f(x)cos xdx=0 then the number of roots of f(x) in (0,pi) is ...

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

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

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

" (3) "int_(x=0)^(pi/2)cos xdx

Evaluate the following integrals : int_(0)^(pi/4)cos^(4)xdx

" (x) "int_(0)^( pi/4)tan xdx

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