int_((pi)/(4))^((pi)/(3))cot xdx=...

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

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

int_((pi)/(4))^((pi)/(3))sec^(2)xdx

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

int_(-(pi)/(4))^((pi)/(4))tan^(3)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)/(2))^((pi)/(2))cos^(3)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)/(6))^((pi)/(4))(tan x+cot xdx)/(tan^(-1)x+cot^(-1)x)

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