I am trying to see how to do a standard calculus exercise in Sage. I
want a power series for the integral of sin(x)/x. I tried:
sage: var('t')
t
sage: assume(x>0)
sage: f(x)=integrate(sin(t)/t,t,0,x)
sage: f
x |--> sin_integral(x)
sage: taylor(f(x),x,0,10)
73/466560*x^9 - 127/35280*x^7 + 31/600*x^5 - 7/18*x^3 + x
The first weirdness is that Sage can't compute the integral unless I add
the "assume(x>0)"; I'm not sure why.
The second weirdness is that the Taylor series is wrong!
Taylor(Si(x),x,0,10) gives the same answer.
Fernando
--
==================================================================
Fernando Q. Gouvea
Carter Professor of Mathematics
Colby College
Mayflower Hill 5836
Waterville, ME 04901
fqgou...@colby.edu http://www.colby.edu/~fqgouvea
The object of opening the mind, as of opening the mouth, is to shut it
again on something solid.
-- G. K. Chesterton, Autobiography.
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