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Integral of x^e?

  1. Jul 6, 2013 #1
    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. jcsd
  3. Jul 6, 2013 #2
    In the case of [itex]x^{e}[/itex], e is just a constant. The power rule can be used.
     
  4. Jul 7, 2013 #3

    HallsofIvy

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    [tex]\int x^e dx= \frac{1}{e+ 1}x^{e+ 1}+ C[/tex]
     
  5. Jul 7, 2013 #4
    [itex] \int_0^1 (x^e+e^x)dx [/itex]

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

    The integral of [itex]e^x=e^x[/itex]. And you're done.
     
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