Evaluate the following integral. ??? ??³?³? ??³?³??? dz dy dx ??? ??³?³? ??³?³??? dz dy dx =
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Since there is no z in the integrand, we simply multiply by z and evaluate from 0 to 4: $$\int_0^4 (3 - 3x - y) dz = (3 - 3x - y)(4 - 0) = 12 - 12x - 4y$$ Now, we need to integrate with respect to y. We have: $$\int_0^{3-3x} (12 - 12x - 4y) dy = \left[12y - Show more…
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