Express the iterated integral in the opposite order. (Use symbolic notation and fractions where needed.) 4 xey? dydx = f' So³ help (fractions) %3| Evaluate the resulting integral: S Sp æev* dædy =

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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**Express the Iterated Integral in the Opposite Order**

(Use symbolic notation and fractions where needed.)

\[ \int_{0}^{8} \int_{\frac{4}{x}}^{4} xe^{y^3} \, dy \, dx = \int_{0}^{4} \int_{4}^{\frac{8}{y}} \]

**Evaluate the Resulting Integral:**

\[ \int \int_{D} xe^{y^3} \, dx \, dy = \]

The exercise involves changing the order of integration for the given iterated integral and then evaluating the resulting integral. The region \( D \) is determined by the limits of integration.
Transcribed Image Text:**Express the Iterated Integral in the Opposite Order** (Use symbolic notation and fractions where needed.) \[ \int_{0}^{8} \int_{\frac{4}{x}}^{4} xe^{y^3} \, dy \, dx = \int_{0}^{4} \int_{4}^{\frac{8}{y}} \] **Evaluate the Resulting Integral:** \[ \int \int_{D} xe^{y^3} \, dx \, dy = \] The exercise involves changing the order of integration for the given iterated integral and then evaluating the resulting integral. The region \( D \) is determined by the limits of integration.
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