On Wed, 07 Jun 2017 20:52:50 -0700, drhuang57 wrote:
> On Wednesday, 7 June 2017 20:15:12 UTC+10, Evgeny Filatov wrote:
>> On 07.06.2017 8:18, drhuang57@gmail.com wrote:
>> > Learning Complicated Integrals from a Simple Integral
>> >
>> > just define one integral of f(x) is f(x) - x, it will know not only
>> > the integral of f(x), but also f(x+1), 2*f(2*x+2), etc.
>> >
>> > IN: integrate(f(x_), x_) := f(x) - x; integrate(2*f(x+1))
>> > OUT: 2*f(x+1) - 2*(x+1)
>> >
>> >
>> > reference math handbook www.mathHandbook.com
>> >
>> >
>> What's complicated in a simple change of variables?
>>
>> Gene
>
> It learns the complicated integrals, e.g. 2f(2x+1), from a single simple
> integral of f(x).
Oooh f***ing ahhh. That's hardly a complicated integral.
--
Tim Wescott
Wescott Design Services
http://www.wescottdesign.com
Reply by ●June 8, 20172017-06-08
On Wednesday, 7 June 2017 20:15:12 UTC+10, Evgeny Filatov wrote:
> On 07.06.2017 8:18, drhuang57@gmail.com wrote:
> > Learning Complicated Integrals from a Simple Integral
> >
> > just define one integral of f(x) is f(x) - x, it will know not only the integral of f(x), but also f(x+1), 2*f(2*x+2), etc.
> >
> > IN: integrate(f(x_), x_) := f(x) - x; integrate(2*f(x+1))
> > OUT: 2*f(x+1) - 2*(x+1)
> >
> >
> > reference math handbook
> > www.mathHandbook.com
> >
>
> What's complicated in a simple change of variables?
>
> Gene
It learns the complicated integrals, e.g. 2f(2x+1), from a single simple integral of f(x).
> > reference math handbook
> > www.mathHandbook.com
Reply by Evgeny Filatov●June 7, 20172017-06-07
On 07.06.2017 8:18, drhuang57@gmail.com wrote:
> Learning Complicated Integrals from a Simple Integral
>
> just define one integral of f(x) is f(x) - x, it will know not only the integral of f(x), but also f(x+1), 2*f(2*x+2), etc.
>
> IN: integrate(f(x_), x_) := f(x) - x; integrate(2*f(x+1))
> OUT: 2*f(x+1) - 2*(x+1)
>
>
> reference math handbook
> www.mathHandbook.com
>
What's complicated in a simple change of variables?
Gene
Reply by ●June 7, 20172017-06-07
Learning Complicated Integrals from a Simple Integral
just define one integral of f(x) is f(x) - x, it will know not only the integral of f(x), but also f(x+1), 2*f(2*x+2), etc.
IN: integrate(f(x_), x_) := f(x) - x; integrate(2*f(x+1))
OUT: 2*f(x+1) - 2*(x+1)
reference math handbook
www.mathHandbook.com