int_((pi)/(4))^((pi)/(2))cot xdx

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

int_((pi)/(6))^((pi)/(3))cot^(2)xdx

int_((pi)/(6))^((pi)/(4))(tan x+cot xdx)/(tan^(-1)x+cot^(-1)x)

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 .

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

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

int_(-(pi)/(2))^((pi)/(2))(dx)/(1+cot^(4)x)

Evaluate the definite integral int_((pi)/(6))^((pi)/(4))"cosec "xdx

int_(-(pi)/(2))^((pi)/(2))cos^(3)xdx

Evaluate: \int_(pi/4)^(pi/2) cot^2 x dx