Integral of x^e - Solving the Problem

[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.

 

[Goa'uld]

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

 

[HallsofIvy]

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

 

[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.