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    Is My Triple Integral Calculation Correct or Is There an Error in the Book?

    Hi, my result of \int \int \int_{A} xyz dxdydz where A = \{(x,y,z); x^2+y^2+z^2 \leq 2, x \geq 0, y \geq 0, z \geq 0 \} is \frac {8}{48} , but book says \frac{1}{48} . Is the book right? Could you please verify? Thank you Michael
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