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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.

7 votes
2 answers
795 views

Calculating the volume of a sphere after switching to spherical coordinates?

I used the code in the second answer on this page to switch from Cartesian to Spherical coordinates and integrate a function over the sphere. I would like to use this code to calculate the volume of a …
sonicboom's user avatar
  • 183
1 vote
1 answer
280 views

Performing a contour integration in Mathematica for a contour starting at $1$ and ending at ...

I would like to compute the following integral $I(k)$ in Mathematica to check if the result equals something I 'feel' is correct but I have no experience with contour integrals in Mathematica. I want …
sonicboom's user avatar
  • 183
0 votes
0 answers
89 views

Integrate$[\frac{\cos(x-y)\cos(5y)}{C+\cos(m-y)+B\cos(x-y)},y]$ results in massive, unusable...

I have to integrate a trigonometric expression that looks fairly straightforward, however, the expression I obtain after I evaluate the integral is massive and unusable. As the integrand is relatively …
sonicboom's user avatar
  • 183