Integral of x^e - Solving the Problem

tommyninetwo · Jul 6, 2013

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 · Jul 6, 2013

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

HallsofIvy · Jul 7, 2013

[tex]\int x^e dx= \frac{1}{e+ 1}x^{e+ 1}+ C[/tex]

oneplusone · Jul 7, 2013

[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.

Integral of x^e - Solving the Problem

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Integral of x^e - Solving the Problem

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