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Questions related to the calculus and analysis branches of Mathematica, including, but not limited to, limits, derivatives, integrals, series, and residues.

5 votes
3 answers
752 views

Mathematica integral wrong

I need to evaluate the following integral: Integrate[1/Sqrt[(x - x1)^2 + (y - y1)^2 + (z - z1)^2], Element[{x, y, z}, Ball[{0, 0, 0}, R]] , Element[{x1, y1, z1}, Ball[{0, 0, 0}, R1]], Assumptio …
tommy1996q's user avatar
3 votes
0 answers
131 views

Trivial Mathematica integral on a cube not computing

I was trying to evaluate some intergal over some cube with variable side length, but for some reason Mathematica spit out the input. The interand was sufficiently nice that I couldn't believe it didn' …
tommy1996q's user avatar
1 vote
0 answers
85 views

How to simplify a formula with integrations by parts?

I have a huge expression to compute, which contains lots of different terms composed of multiplication of various functions, derived a certain number of times (non derived, derived once or twice). For …
tommy1996q's user avatar
0 votes
0 answers
49 views

Gâteaux derivative of classic DIrichlet energy in dimension higher than 1

I need to calculate the Gâteaux derivatives of some functional, and I started playing a bit with very simple cases. I know there's the VariationalMethods package that's required, but I don't know how …
tommy1996q's user avatar