Solved: Ix = J J J (y2 + z2) dx dy dz of a mass of density

Chapter 10, Problem 10.1.144

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\(I_{x}=\iint_{T} \int_{T}\left(y^{2}+z^{2}\right) d x d y d z\) of a mass of density 1 in a region T about the x-axis. Find \(I_{x}\) when T is as follows.

The box \(0 \leqq x \leqq a,-b / 2 \leqq y \leqq b / 2,-c / 2 \leqq z \leqq c / 2\)

Text Transcription:

I_x = iint_T int_T (y^2 + z^2) dx dy dz

I_x

0 leqq x leqq a,-b / 2 leqq y leqq b / 2,-c / 2 leqq z leqq c / 2

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