Hey, I got a couple of problems on integration that I can't seem to figure out.(adsbygoogle = window.adsbygoogle || []).push({});

1. Suppose [tex]I_n = \int_{0}^{1} x^n e^{2x} dx[/tex] Evaluate [tex]I_n[/tex] in terms of [tex]I_{n-1}[/tex] for any natural number n

2. Suppose [tex]I_n = \int_{1}^{e} \left[\ln x\right]^n dx[/tex] Evaluate [tex]I_n[/tex] in terms of [tex]I_{n-1}[/tex] for any natural number n

Not sure what to do with these. Do I need to integrate [tex]I_{n-1}[/tex]? What do I put into [tex]I_n[/tex] after I integrate [tex]I_{n-1}[/tex]??

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# Calculating the integral of x^n e^(2x) from 0 to 1

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