Matlab, Mathematica & Elliptic Integrals?


If I define S(u) = sqrt((a1-u)(a2-u)(a3-u)), ie. the square root of a cubic
polynomial, I recently learned that the integral of du/S(u) = b1*F(b2,b3),
where F is the elliptic integral of the first kind and b1,b2,b3 are derived
constants that are simple functions of the input constants a1,a2,a3.

Does anybody know if either Matlab or Mathematica is capable of doing this
integral? If so, is it capable of working that result into slightly a more
complicated integral, like the integral of du*(c1-c2*u)/[S(u)*(1-u^2)].

TIA



.

Relevant Pages

  • Re: Matlab, Mathematica & Elliptic Integrals?
    ... John Schutkeker wrote: ... where F is the elliptic integral of the first kind and b1,b2,b3 are derived ... constants that are simple functions of the input constants a1,a2,a3. ... Mathematica can compute this integral: ...
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    ... For the integral from 0 to pi in the case a = e, Mathematica gives ... where I_0 is a modified Bessel function of the first kind and L_0 is a ... Prev by Date: ...
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  • Re: integral of a^sin(x)
    ... >For the integral from 0 to pi in the case a = e, Mathematica gives ... >where I_0 is a modified Bessel function of the first kind and L_0 is a ... Prev by Date: ...
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  • Re: New(?) identity for unsigned Stirling Numbers of the first kind
    ... Let sbe the Stirling Numbers of the first kind, ... As to using Mathematica or Maple, wonderful as those aids may be, ...
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