From: Bard E. <erm...@gm...> - 2013-11-16 00:17:19
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Is there any way to differentiate under the integral sign. I'd like to define a function: int(exp(a*cos(x)),x,0,pi); and then get a Taylor series approximation of it in terms of a. Reduce does not understand how to differentiate under the integra sign to get a bunch of simple integrals of powers of cos(x) Regards -- Bard Ermentrout |
From: Rainer S. <rai...@gm...> - 2013-11-16 06:58:42
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On Fri, 15 Nov 2013 at 19:17 -0500, Bard Ermentrout wrote: > Is there any way to differentiate under the integral sign. I'd like to > define a function: > int(exp(a*cos(x)),x,0,pi); > and then get a Taylor series approximation of it in terms of a. > > Reduce does not understand how to differentiate under the integra sign to > get a bunch of simple integrals of powers of cos(x) Differentiation under the integral sign depends on the switch allowdfint which is off by default. See section 7.4.1 of the manual for a description of switches influencing differentiation. Rainer |