# Thread: Integration Problem

1. ## Integration Problem

I need to find the indefinite integral of:
$
\sqrt[3]{xe}^{\sqrt[3]{8x^4}}dx
$

2. [QUOTE=lil_cookie;460583]I need to find the indefinite integral of:
$
\sqrt[3]{xe}^{\sqrt[3]{8x^4}}dx
$

Is that actually a third root to the [\sqrt[3]{8x^4}[/tex] power? Then it is simply $\left(x e\right)^{2^{1/3}x^{4/3}}$. Are you sure that is not a product rather than a power?

3. No it is a product, this chapter is related to finding integrals with the power rule

thank you for the answer but could you show me how you answered it as well?

thanks!