8.int_((pi)/(6))^((pi)/(4))csc xdx

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

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

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

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

The integral I=int_((pi)/(4))^((pi)/(2))sin^(6)xdx is satisfies

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 .