AngouriMath

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AtTheBound​(AngouriMath.​Entity,​AngouriMath.​Entity.​Variable,​AngouriMath.​Entity,​AngouriMath.​Entity)

 Method (no overloads)

Summary

The antiderivative's value at one bound of a definite integral: its value there, and
where that is undefined, its limit as the bound is approached from inside the range,
which is what an improper integral is.

Remarks

-(x + 1) e^(-x) at +oo is -oo * 0, which is NaN, so the integral
of x e^(-x) from 0 to +oo was NaN where it is 1; and x ln(x) - x at 0 is 0 * -oo, so the integral of ln(x) from 0 to 1 was NaN where it
is -1. The limit is taken only where the value is undefined, so a bound the substitution
answered is answered as before. Its side is known at an infinity, and at a finite bound
from the other bound where both have numeric values. Elsewhere, and where the limit is not
decided, the value stays undefined, as it is for sin(x) from 0 to +oo,
whose antiderivative has no limit there.

























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