Substitution in Indefinite Integral

1. Jul 22, 2010

phillyolly

1. The problem statement, all variables and given/known data

I started the problem, got stuck.

2. Relevant equations

3. The attempt at a solution

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2. Jul 22, 2010

jegues

Take the constants out of the integral and solve,

$$\frac{1}{2}\int \frac{du}{1 + u^{2}} = \frac{1}{2}tan^{-1}(u) + C$$

Since,

$$u = x^{2}$$

Then,

$$\frac{1}{2}tan^{-1}(u) + C = \frac{1}{2}tan^{-1}(x^{2}) + C$$

3. Jul 22, 2010

phillyolly

Oh snap, that was easy.
Thank you!