What Substitution Solves This Integral?

[sleepwalker27]

1.
http://www.imageurlhost.com/images/cnj1t05jh6e4fxqy4i5_integral.png
I know that this integral is solved by the sustitution method

The Attempt at a Solution

I tried converting the integral to the form of Arctanx, but that x² on the numerator ruined everything. Thanks

 

[Mark44]

1.
http://www.imageurlhost.com/images/cnj1t05jh6e4fxqy4i5_integral.png
I know that this integral is solved by the sustitution method

The Attempt at a Solution

I tried converting the integral to the form of Arctanx, but that x² on the numerator ruined everything. Thanks

Please show us the substitution you used, which sounds like a trig substitution.

 

[sleepwalker27]

Please show us the substitution you used, which sounds like a trig substitution.

I tried to made the integral to the form ∫dx/x²+1 so that their solution is something like arctanx

 

[Mark44]

I tried to made the integral to the form ∫dx/x²+1 so that their solution is something like arctanx

I figured you did something like that, but that isn't what I asked you for. Please show me your substitution.

 

[HallsofIvy]

Did you not notice that the numerator and denominator have the same degree?

$$\frac{2x^2}{2x^2+ 1}= 1- \frac{1}{2x^2+ 1}$$