On Wed, Mar 11, 2009 at 2:52 PM, mark mcclure wrote:
>
>
>
> On Mar 11, 2:46 pm, David Joyner 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 c
> > Mathematica returns the result in terms of Fresnel functions.
>
> Point taken. However, integrate(abs(sin(t*t)),t,0,3) is
> by definition (since sin(x)>0 in that interval) the
> Fresnel integral S(3),http://en.wikipedia.org/wiki/Fresnel_integral,
> and just renaming it doesn't make it a closed
On Mar 11, 2:46 pm, David Joyner 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 fu
Do you mean
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.
On Wed, Mar 11, 2009 at 2:19 PM, seber...@spawar.navy.mil
wrote:
>
> Why can't do integrate(
