How Do You Integrate the Square Root of a Polynomial?

[filter54321]

Homework Statement

This should be an easy one but I'm having a brainfart...

Homework Equations

$$\int\sqrt{4x^{4}+x^{2}}dx$$

The Attempt at a Solution

Do you take an x² through the square root? From there you'd do this to get the derivative if the inside...I think...

$$\frac{1}{8}$$$$\int\sqrt{4x^{2}+1}(8x)dx$$

A walkthough would be appreciated.

 

[Bohrok]

That's good. Now use substitution with u = 4x²+1