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The Maxima on-line user's manual

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Elliptic_pi

Function: elliptic_pi (<n>, <phi>, <m>) The incomplete elliptic integral of the third kind, defined as

integrate(1/(1-n*sin(x)^2)/sqrt(1 - m*sin(x)^2), x, 0, phi)

Only the derivative with respect to phi is known by Maxima.

(%o1)                                true
(%i2) 

Related Examples

pi-sqrt

f(x):=1/(0.3*sqrt(2*%...

Calculate

pi

f(x):=2*x;

''f(pi);

Calculate

pi-plot2d-sin-sqrt-subst-taylor
plot2d([WW], [x,2,16], [y,-1,2]);

Wkin : taylor(sqrt(1+...

WW : subst(sin(17/x*%...

plot2d([WW], [x,2,16]...

Calculate

pi-plot2d-sin
plot2d ([sin(x),(2/%pi)*x], [x, -2*%pi, 2*%pi],[y, -1.1, 1.1]);

plot2d ([sin(x),(2/%p...

plot2d ([sin(x),(2/(...

plot2d ([sin(x),(2/(9...

Calculate

pi-sqrt

b=11*2;

a=sqrt(b)+%pi;

Calculate

pi-plot2d
plot2d(x/2-(x^3*%pi)/3,[x,0,1],[y,-2,2]);

plot2d(x/2-(x^3*%pi)/...

Calculate

pi-plot2d
plot2d(I(t),[t,0,6*tau]);

pi:3.141592653589793;

U1:40;

U2:800;

Calculate

pi-plot2d-sin
plot2d (sin(x-2*%pi), [x, 0, %pi],[y,-2,2]);

plot2d (sin(x-2*%pi),...

Calculate

pi-romberg-sin

romberg(romberg(sin(x...

Calculate

pi-plot2d-sin-sqrt-subst-taylor
plot2d([WW], [x,2,16], [y,-1,2]);

Wkin : taylor(sqrt(1+...

WW : subst(sin(17/x*%...

plot2d([WW], [x,2,16]...

Calculate