Substitution in Indefinite Integral

[phillyolly]

Homework Statement

I started the problem, got stuck.

Homework Equations

The Attempt at a Solution

 

[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,

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

 

[phillyolly]

Oh snap, that was easy.
Thank you!