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Am I doing this integration problem right?

  • #1

Homework Statement


Hello, I am struggling with an integration problem.

e ^ x ^ (5/3)

Homework Equations



Um.

The Attempt at a Solution



So I know the integral of x^(5/3) is (3/8)x^(8/3). But when I am trying to integrate the whole thing, with e in it, do I just treat x^(5/3) like a constant? Or do I still have to integrate it?

Possible solutions: e^x^(5/3)
or
e^(3/8)x^(8/3)
or
something else... please help....

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
Take a close look at the problem. Does it appear to be (e^x)^(5/3) or is it e^(x^(5/3))?

The first is relatively easy (simplify and substitute). If in doubt, I'd assume this interpretation.

The second is really, really ugly. I can't figure out how to do it, my TI-89 chokes on it, and Maple spits out the following gibberish:
output.png

so I'm guessing it's not really solvable by hand using first/second-year calculus techniques.
 

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