I did Integration by Parts and ended up with: Not sure where to head from here? Thanks.
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Hey eskimogenius. Integrating by parts gives I_{n-1} = [x^(n-1)*e^x]{0,1} - 1/n*Int{0,1}(x^n*e^(x)dx) = e - 1/n*I{n} Assuming d/dx (x^n/n) = x^(n-1).
Sorry, I think the question might have been wrong. If you sub: into the result I gave, you arrive at the answer except a + instead of - sign.
Originally Posted by eskimogenius Sorry, I think the question might have been wrong. If you sub: into the result I gave, you arrive at the answer except a + instead of - sign. You are correct as posted there is a small typo in it. It should be . If you start with and then use the parts decomposition . That will give the corrected formula.
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