On 12/19/06, Seth Goldberg <sigoldberg1 at yahoo.com> wrote:
> integrate(1+sin(x^2),x)
> Returns a complicated expression. Persists after assume(x>0)
Checking with differentiation, the returned expression appears to be correct.
Mathematica gives Sqrt[Pi/2]*FresnelS[Sqrt[2/Pi]*x], where FresnelS is
the Fresnel integral, which is simply a scaled standard form of
integrate(sin(x^2)). Maxima returns an answer in terms of erf, the
error function, which is somewhat larger.
What were you expecting?
-s