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. > > 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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