hello, im stuck on an integration by parts problem: here is what i have so far , , i know that but im not sure how to continue... could someone show me?
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Originally Posted by absvalue hello, im stuck on an integration by parts problem: here is what i have so far , , i know that but im not sure how to continue... could someone show me? Be careful!! !! You can't apply the power rule when your base is a number and your exponent is a variable!! However, observe that . Can you proceed?
Ok, I think I understand... Is this correct then? Note that . Thus Let and . Then and . Using integration by parts:
Yes, that is correct. It is also useful to learn as general rules: and . Notice that if a= e, ln(a)= ln(e)= 1 so that becomes the "usual" derivative and anti-derivative of .
Last edited by Chris L T521; June 28th 2010 at 07:56 PM. Reason: fixed LaTeX.
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