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**double integral help??**

## Homework Statement

Evaluate the double integral

| | e^sin(x) dA

over the region

D = {(x,y) | 0 ≤ x ≤ π/2, 0 ≤ y ≤ cosx} .

## Homework Equations

## The Attempt at a Solution

how would i do this? i know that dA = dy(dx) so the integral would be

|(0 ≤ x ≤ π/2) |(0 ≤ y ≤ cosx) (e^sin(x) dy) dx

would i have to switch the integration? so it would be dx(dy) instead? or could i just integrate it with respect to dy and say it is y*e^sin(x)?

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