# How i solve this indefinite integral?

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1. Apr 18, 2015

### sleepwalker27

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

3. The attempt at a solution
I tried converting the integral to the form of Arctanx, but that x2 on the numerator ruined everything. Thanks

2. Apr 18, 2015

### Staff: Mentor

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

3. Apr 18, 2015

### sleepwalker27

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

Last edited by a moderator: Apr 18, 2015
4. Apr 18, 2015

### Staff: Mentor

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

5. Apr 19, 2015

### HallsofIvy

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

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

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