# Composite Root Integral

1. Aug 13, 2009

### naphiefx

The problem statement, all variables and given/known data
$$\int\sqrt{40t^2+e^t^2}dt$$

That should be e^t^2.
How would I go about doing this?

2. Aug 13, 2009

### Cyosis

You can forget about a primitive in terms of elementary functions. It doesn't exist as is the case in most situations. What you could try is to write the integrand as a series expansion and integrate term by term.

3. Aug 13, 2009

### Staff: Mentor

That's generally good advice, but the square root in this case is going to complicate this strategy a lot!