int_((pi)/(6))^((pi)/(4))cosec xdx

int_((pi)/(6))^((pi)/(3))(sec^(4)x)/("cosec"^(4) x + sec^(4)x) dx

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

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

int_(0)^((pi)/(4))sec xdx

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

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

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_(0)^((pi)/(4))x cos xdx

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

(i) int_0^(pi//4) sec x dx (ii) int_(pi//6)^(pi//4) cosec x dx