`int {dx}/{1+2x} `

Given that int (dx)/((1+ x ^(2))^n)=(x)/(2 (n-1)(1+x^(2) )^(n-1))+((2n -3))/(2(n-1))int (dx)/((1+ x ^(2))^(n-1)). Find the vlaue of int _(0)^(1) (dx)/((1+x ^(2) )^(4)), (you may or may not use reduction formula given)

Evaluate : int (dx)/( (1 - x^(2)) sqrt( 1 + x^(2)))

Find the value of the following: int_0^1 dx/(1+x^2)

Evaluate: int(dx)/(x^(1/2)+x^(1/3))

int(dx)/(x^(1/2)+x^(1/3))

int(dx)/(x^(1/2)+x^(3/2))

Evaluate int(dx)/((1+x^(2))sqrt(1-x^(2))).

Find int(dx)/((x+1)(x+2)

Evaluate int(dx)/(1-x-x^(2))

Integrate : int(dx)/((x+1)^(2)+1)