Quiz: calculating a definite integral
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01-03-2014, 07:03 AM
Post: #32
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RE: Quiz: calculating a definite integral
(01-03-2014 06:08 AM)walter b Wrote: there can be only one correct.Use integration by parts to get: \(\int_{0}^{1}x^n\log(x)^p dx=-\frac{p}{n+1}\int_{0}^{1}x^n\log(x)^{p-1}dx\) Iterate starting with \(p=n\) until you end up with: \(\int_{0}^{1}x^n dx=\frac{1}{n+1}\). You can figure out by yourself which is correct. |
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