# Math Help - Integral proof help

1. ## Integral proof help

I have my first Calculus 2 assignment due this Wednesday, and I am having a really hard time with it. I've worked over 4 hours trying to complete the following:

Prove the following identity:

2. Originally Posted by pkrogel
I have my first Calculus 2 assignment due this Wednesday, and I am having a really hard time with it. I've worked over 4 hours trying to complete the following:

Prove the following identity:
Substitute $t = x^n \Rightarrow dx = \frac{1}{n} t^{\frac{1}{n} - 1}$.

Then the integral is clearly seen to equal $\frac{1}{n} \Gamma \left( \frac{1}{n} \right)$.

Now use the well known formula $\Gamma (z + 1) = z \Gamma (z)$.