`int(x^2a r c t a n x)/(1+x^2)dx`

lim_(x->oo)x(a r c t a n(x+1)/(x+2)-a r c t a n x/(x+2)) is equal to

Evaluate: int_0^1(x t a n^(-1)x)/((1+x^2)^(3//2))dx

Evaluate: int1/(sqrt(t a n^(-1)x)(1+x^2))dx

Find (i) inte^x(t a n^(-1)x+1/(1+x^2))dx (ii) int((x^2+1)e^x)/((1+x)^2))dx

Evaluate: int5^(x+t a n^(-1)x)((x^2+2)/(x^2+1))dx

Integrate the following w.r.t. x: int (3x-2) sqrt ( x^2 + x + 1) dx

Integrate the following functions w.r.t. x , (i) int(ax+b)^(n)dx (ii)int(2^((1)/(x)))/(x^(2))dx (iii) int(2dx)/((e^(x)+e^(-x))^(2)) (iv) (1)/(x^(2)(x^(4)+1)^((3)/(4))dx (v) int((tan^(-1)x)^(3))/(1+x^(2))dx

Evaluate the integerals. int(x)/(1+x^(2))dx, x in R.

Integrate the following w.r.t. x: int (x+1) sqrt ( x^2 + x + 1) dx

Integrate the following w.r.t. x: int (x-5) sqrt ( x^2 - 1) dx