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Pupil
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posted by  Hypatia on 7/19/2009 10:01:45 PM  |  status: Closed  |  Earned Karma: 76

Integral Problem, Not sure where to go with it.

Course Textbook Chapter Problem Needs by
Calculus Calculus (6th) by Stewart N/A N/A N/A
Question Details:

I can't figure out how to solve it. I thought of letting u=x^1/3, but that doesn't seem to get me anywhere.
~Hypatia If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is. ~John Louis von Neumann
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Sage
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( brevard community college)
posted by steb on 7/19/2009 10:06:43 PM  |  status: Live
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Response Details:
Let y3 = x, so that 3y2 dy = dx, then the integral becomes:


which you can work out by parts (twice) as shown above and then resubstitute to get the final answer:
Oracle
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posted by hado on 7/19/2009 10:09:39 PM  |  status: Live
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Response Details:
Let
Then

Integration by parts
Let
Then
==>

Integration by part again
Let
Then
==>

==>

==>

or
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