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The Maxima on-line user's manual

Algebra Calculator

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Elliptic_ec

Function: elliptic_ec (<m>) The complete elliptic integral of the second kind, defined as

integrate(sqrt(1 - m*sin(x)^2), x, 0, %pi/2)

For certain values of m, the value of the integral is known in terms of Gamma functions. Use makegamma to evaluate them.

(%o1)                                true
(%i2) 

Related Examples

elliptic_ec

? elliptic_ec;

Calculate

elliptic_ec

4*3*elliptic_ec (5.0/9);

Calculate

elliptic_ec

elliptic_ec (5.0/9);

Calculate

elliptic_ec

elliptic_ec (5./9);

Calculate

elliptic_ec

? elliptic_ec;

Calculate

elliptic_ec

4*3*elliptic_ec (5.0/9);

Calculate

elliptic_ec

elliptic_ec (5.0/9);

Calculate

elliptic_ec

elliptic_ec (5./9);

Calculate