Integration by PartsDate: 5/24/96 at 9:19:11 From: Anonymous Subject: integration How do you integrate x^x? First, I tried changing x^x to e^xln x. Then, I changed e^xln x to a Maclaurin series, which I then tried to integrate. I ended up with such an intricate series of terms that I couldn't express it in series sum notation. Is there an easier way to do it, if it can even be done? I would really appreciate it if you could help. Thank you. - Anthony Date: 6/14/96 at 1:8:32 From: Doctor Dave Subject: Re: integration Anthony, I would use integration by parts. Choose u = lnx and dv = xdx. Find du by taking the derivative of lnx and find v by taking the anti-derivative of xdx. Then the integral of udv = uv - the integral of vdu. -Doctor Dave, The Math Forum Check out our web site! |
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