`int(1)/(x^(2))cot((1)/(x))dx`

The value of int((x^(2)+1))/((x^(4)-x^(2)+1)cot^(-1)(x-(1)/(x)))dx will be

int_(-10)^(20)[cot^(-1)x]dx

Evaluate : int_(0)^(oo)(cot^(-1)x)^(2)dx

int(1+tan^(2)x)/(1+cot^(2)x)dx-

int(1+tan^(2)x)/(1+cot^(2)x)dx

Integrate the following functions (i) int((1+x)^(4))/(x)dx (ii) int(e^(200x)+e^(202x))/(e^(x)+e^(-x))dx (iii) int(1+tan^(2)x)/(1+cot^(2)x)dx

l=int_(-2)^(1)(tan^(-1)x+"cot"^(-1)(1)/(x))dx is equal to

int(cot^(-1)(e^(x)))/(e^(x))dx is equal to

int_(-1)^(1)cot^(-1)((x+x^(3))/(1+x^(4)))dx