### Image: Change order of integration example region with exponential, x first

Example region illustrating process of changing the order of integration in double integrals, shown with x as the inner integral. For a given value of $y$, $x$ ranges from the line $x=1$ (blue) to the curve $x=e^y$ (red), as illustrated by the horizontal hashing over the region. The total range of $y$ over the region is from zero to one, as illustrated by the gray bar at left.

Image file: double_integral_change_order_example_exp_x.png

Source image file: double_integral_change_order_example_exp_x.ggb

Source image type: Geogebra

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