[See Solution] Consider the integral ∫_0^1 ∫_1^e^x d y d x. Write an equivalent order with the order of integration reversed. Compute the integral
Question: Consider the integral \(\int_{0}^{1} \int_{1}^{e^{x}} d y d x\).
- Write an equivalent order with the order of integration reversed.
- Compute the integral in the original order.
- Compute the integral in the new order. Confirm that they are equal.
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