On Sun, Feb 19, 2012 at 8:21 AM, ObsessiveMathsFreak
<[email protected]> wrote:
> Is there really no way of doing this?
>
> On Feb 8, 10:38 pm, ObsessiveMathsFreak
> <[email protected]> wrote:
>> I have a certain integration result which Sage is currently unaware of. I
>> need a way to make sage aware of it in some fashion, via substitution or
>> anything else.
Is it in mpmath or scipy?
>>
>> For example, sage currently cannot perform the following integral
>>
>> sage: var(' k t')
>> sage: integrate(sqrt(1-k^2*sin(t)^2),t,0,pi/2)
>> integrate(sqrt(-k^2*sin(t)^2+1),t,0,pi/2)
>>
>> In fact, the integral defines the elliptice function E(k).
>>
>> Is there any way of substituting the unknown integral above for a function
>> like E(k) in sage? Can sage be programmed to recognise such substitutions
>> automatically?
>
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