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asked Mar 27, 2014 at 3:49
user131040 user131040
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Transform to spherical coordinates to obtain the integral $$ I_E = \int_2 ^3 \int_0 ^ <2\pi>\int_0 ^\pi \frac> \rho^2 \sin \phi \, \mathrm \phi \, \mathrm \theta \, \mathrm \rho = \cdots $$ To evaluate the integral, you can employ Fubini's Theorem to get the value quite handily. I believe the result is $I_E = \frac \left( 1 - \frac \right)$.
answered Mar 27, 2014 at 4:21
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$\begingroup$ @user131040 No problem! I am glad that it was helpful - when just learning multivariable, the different coordinate maps can seem more foreboding at first, I am happy that this was useful for you! $\endgroup$
Commented Mar 27, 2014 at 6:06
