Integral of e^sinx
Date: 15 May 1995 07:43:54 -0400 From: MUHTAR Subject: problem INTEGRAL e^sinx?
Date: 16 May 1995 22:28:59 -0400 From: Dr. Sydney Subject: Re: problem Hello! Thanks for writing us! This is a good question. Certainly taking the integral of e to the power sinx defies all of the usual tricks of integration like substitution, parts, etc. I looked in a book of integrals and I saw nothing that looked even close to this integral, so my guess is that there is no nice, pat answer to this question. Have you considered approximating the function to a Taylor polynomial and integrating the Taylor polynomial? At least locally (around the number you do your expansion about), the integral should approximate the integral of e^sinx (If you don't know what Taylor polynomials are, write back, and we'll be happy to help explain!). So, I hope this helps a little. The problem would have worked much more nicely if it were, say integral of cosx * e^sinx. But, life isn't always that simple, I guess. Write back if you have any more questions. --Sydney, "dr. Math"
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