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Topic: [ap-calculus] Re: Integration by Parts Question
Replies: 1   Last Post: May 12, 2005 9:28 AM

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Richard J Maher

Posts: 80
Registered: 12/6/04
[ap-calculus] Re: Integration by Parts Question
Posted: May 12, 2005 9:28 AM
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Hello everyone
On Wed, 11 May 2005, Larry Rose wrote:

The problem is the integral of (x^3 + 5) (ln x) dx.

If I let u = (x^3 + 5) and dv = (ln x) then I get the solution (x^3 +
5) (1/x) - (3x^2)/2 + C (which checks when I take the derivative).
Your problem occurs right here. If you let dv = ln x, then
v = xlnx - x and you do not get the solution stated above.

Hope this helps.

Dick Maher

Richard J. Maher
Mathematics and Statistics
Loyola University Chicago
6525 N. Sheridan Rd.
Chicago, Illinois 60626

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