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The Maxima on-line user's manual

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Lmax

Function: lmax (<L>) When <L> is a list or a set, return apply (max, args (<L>)). When <L> isnt a list or a set, signal an error.

f:x^2;
g:5-2*x;
reseni:solve(f=g,x);
a:lmin(map(lambda ([x],rhs(x)),reseni));
b:lmax(map(lambda ([x],rhs(x)),reseni));
vysledek:radcan(integrate(g-f,x,a,b));
vysledek,numer;
plot2d([f,g],[x,a,b]);

(%o1)                                true
(%i2) 

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