# Integral of x^e?

1. Jul 6, 2013

### tommyninetwo

I'm practicing integrals right now and came up on a question I have not seen before nor can I find online.

Integral from 0 to 1 of (x^e + e^x) dx

I'm stumped on x^e.

2. Jul 6, 2013

### Goa'uld

In the case of $x^{e}$, e is just a constant. The power rule can be used.

3. Jul 7, 2013

### HallsofIvy

$$\int x^e dx= \frac{1}{e+ 1}x^{e+ 1}+ C$$

4. Jul 7, 2013

### oneplusone

$\int_0^1 (x^e+e^x)dx$

Note that 'e' is just a constant. It has a finite value, right?
So integrating it is just like how you integrate $x^2$.

The integral of $e^x=e^x$. And you're done.