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Student Support Forum: 'Elliptic Integral Problem' topicStudent Support Forum > General > "Elliptic Integral Problem"

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Manjula
08/15/12 12:08pm

I have tried to use Mathematica on evaluating complete elliptic integral of the first kind by entering:

Integrate[1/Sqrt[1-(r^2 Sin[\[Phi]]^2)/x^2],{\[Phi],0,\[Pi]/2},Assumptions->Re[r^2/x^2]>1&&r^2/x^2\[Element]Reals]

Mathematica has given me the answer:
EllipticK[r^2/(r^2-x^2)]/Sqrt[1-r^2/x^2]

But to me, the correct answer should be
EllipticK[r^2/x^2]

Can you please show me where I have gone wrong?

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