Solution: Let I=[0,1] *[0,1] *[0,1]. Evaluate each of the following integrals, using standard techniques from calculus: ∫_I y e^-x y ~d x ~d y ~d z
Question: Let \(I=[0,1] \times[0,1] \times[0,1]\). Evaluate each of the following integrals, using standard techniques from calculus:
- \(\int_{I} y e^{-x y} \mathrm{~d} x \mathrm{~d} y \mathrm{~d} z\)
- \(\int_{I} z e^{x+y} \mathrm{~d} x \mathrm{~d} y \mathrm{~d} z\)
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