int_(Pi)^( x^(2))cot^(-1)xdx

int cot^(-1)xdx

int_(pi/4)^( pi/3)cot^(2)xdx=?

int_(pi/6)^( pi/4)cot^(2)xdx

int_(0)^(pi/2)(cot^(2)xdx)/(tan^(2)x+cot^(2)x)

The value of int_(-(pi)/(2))^((pi)/(2))[cot^(-1)x]dx

Evaluate the following definite integral: int_(pi/4)^( pi/2)cot 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

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 .

If 2int_(0)^(1) tan^(-1)xdx=int_(2)^(1)cot^(-1)(1-x+x^(2))dx . Then int_(0)^(1) tan^(-1)(1-x+x^(2))dx is equal to

If 2int_(0)^(1)tan^(-1)xdx=int_(0)^(1)cot^(-1)(1-x+x^(2))dx then int_(0)^(1)tan^(-1)(1-x-x^(2))dx is equal to