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

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

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)))

Let int(dx)/((x^(2)+1)(x^(2)+9))=f(x)+C, (where C is constant of integration) such that f(0)= 0.If f(sqrt(3))=(5)/(36)k, then k is

Let int(dx)/((x^(2)+1)(x^(2)+9))=f(x)+C, (where C is constant of integration) such that f(0)= 0.If f(sqrt(3))=(5)/(36)k, then k is

Let f(x)=int(dx)/((x^(2)+1)(x^(2)+9)) and f(0)=0 if f(sqrt(3)) =(5)/(36)k, then k is

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

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

If int(dx)/((x+1)^(2)(x^(2)+2x+2))=(A)/(x+1)+B tan^(-1)(x+1)+C, where A and B are constants and C is the constant of integration, then |A-B| is equal to

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