Rewrite the following integral using the indicated order of integration and then evaluate the resulting integral. 5 0 8x + 8 SS S dy dx dz in the order dz dx dy 0 -1 0 5 0 8x + 8 H SS S s dz dx dy = dy dx dz = 0 -1 0 (Simplify your answer.) Rewrite the following integral using the indicated order of integration and then evaluate the resulting integral. 1/16 -x² (16 x² 了了了 dy dz dx to dz dy dx 0 0 T7 TT.II 1 1/16-x² / 16 x² dy dz dx = dz dy dx 0

Mathematics, Calculus

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EXPERT ANSWER

The process of changing the order of integration involves rewriting the integral with the new order of variables and adjusting the limits of integration accordingly. The new order of integration should not affect the final result of the integral as long as the limits are properly adjusted