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The Maxima on-line user's manual

Algebra Calculator

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Ldefint

Function: ldefint (<expr>, <x>, <a>, <b>) Attempts to compute the definite integral of <expr> by using limit to evaluate the indefinite integral of <expr> with respect to <x> at the upper limit <b> and at the lower limit <a>. If it fails to compute the definite integral, ldefint returns an expression containing limits as noun forms.

assume (t>0);
assume (T>0);
ldefint ((2*j+1)*exp(-(t/T)*j*(j+1)), j, 0, inf)

ldefint is not called from integrate, so executing ldefint (<expr>, <x>, <a>, <b>) may yield a different result than integrate (<expr>, <x>, <a>, <b>). ldefint always uses the same method to evaluate the definite integral, while integrate may employ various heuristics and may recognize some special cases.

There are also some inexact matches for ldefint. Try ?? ldefint to see them.

(%o1)                                true
(%i2) 

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