Integral of (4x^4+x^2)^(1/2)

1. Oct 20, 2009

filter54321

1. The problem statement, all variables and given/known data
This should be an easy one but I'm having a brainfart...

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

3. 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.

2. Oct 20, 2009

Bohrok

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