Question
In Exercises $17-24$ , evaluate the double integral over the given region $R .$$$\iint_{R} x y \cos y d A, \quad R :-1 \leq x \leq 1, \quad 0 \leq y \leq \pi$$
Step 1
We can rewrite this integral as a double integral with $y$ on the outside and $x$ on the inside, which allows us to integrate with respect to $x$ first and then $y$. This gives us: $$\int_{0}^{\pi} \left( \int_{-1}^{1} x y \cos y dx \right) dy$$ Show more…
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