On Mar 11, 2:46 pm, David Joyner <wdjoy...@gmail.com> wrote:
> sage: t = var("t")
> sage: numerical_integral(abs(sin(t^2)),0,3)
> (1.7024100330599248, 1.5397333279914378e-06)
>
> because AFAIK, integrate(abs(sin(t*t)),t,0,3)
> cannot be computed in closed form.
Mathematica returns the result in terms of Fresnel functions.
Maxima can find the indefinite integral in terms of the error
function. What Maxima *can't* do is deal with absolute values
in a definite integral. Try:
integrate(abs(sin(t)), t, 0, pi)
The result returns unevaluated, even though the integrand is
positive on the integral. I think I saw that on the Maxima
discussion group a bit ago.
Mark McClure
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