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Questions related to the calculus and analysis branches of Mathematica, including, but not limited to, limits, derivatives, integrals, series, and residues.

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Is EllipticK defined correctly in Mathematica? [duplicate]

I needed to calculate F[a]=Integrate[1/(Sqrt[x^2+1]Sqrt[x^2+a^2]),{x,0,Infinity}] so I fed it to Mathematica. The result I got was: ConditionalExpression[Sqrt[1/a^2] Sqrt[a^2] EllipticK[1 - a^2], Re …