# Integral problems with roots of polynomials

1. May 30, 2010

### thereddevils

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

How do i solve this integral ?

$$\int \big( \sqrt{x^{3}+1} + \sqrt[3] {x^{2}+2x} \big) \ dx$$

2. Relevant equations

3. The attempt at a solution

what is the appropriate substitution to make here

2. May 30, 2010

### irycio

Re: integration

There is no antiderivative of this function that could be written down using elementary functions only. It takes some hypergeometric and elliptic functions, type it down into wolfram alpha and see what you get.

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