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Results tagged with calculus-and-analysis
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user 9145
Questions related to the calculus and analysis branches of Mathematica, including, but not limited to, limits, derivatives, integrals, series, and residues.
2
votes
Integral with HeavisideTheta takes too long to evaluate
As outlined in one of the comments, I think Mathematica is running into boundary value problems with the HeavisideTheta. More specifically, that Heaviside remains unevaluated at 0 itself, but you can …
- 303
5
votes
Symbolic integral with distributions
I think what you want is
Integrate[HeavisideTheta[1 - x^2] DiracDelta[1 - x^2], {x, 0, 1 + $MachineEpsilon}]
This gives
HeavisideTheta[0]/2
The $MachineEpsilon (or any number > 0) is necessary b …
- 303