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I'm asked in an exercise to calculate the center of mass for $V=\{{(x,y,z)|x^2+y^2\leq 2x\sin(z), 0\leq z\leq \pi}\}$, but I'm having trouble doing this "the normal way" - the integral(s) I get seems unsolvable (I've tried calculating the integral in two orders: $dxdydz$ and $dydxdz$, both ended up in something unsolvable).

(The density of the body is the same for every point)

Help would be appreciated :)!

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    Have you considered spherical coordinates? $x^2+y^2$ and $x\sin(z)$ seem like they might translate into reasonable bounds in terms of spherical coordinates.2012-05-22
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    Thanks for your comment! We have not yet learned spherical coordinates... so I don't know/can't use them!2012-05-22
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    @ro44 Are you the same person? http://math.stackexchange.com/users/31847/ro442012-05-22
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    Yeah, that's me. I deleted my browser cookies so I guess it forgot who I was.2012-05-22

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