Question
Evaluate each double integral over the region $R$ by converting it to an iterated integral.$$\iint_{R}\left(x^{2}+x y\right) d A ; R=\{(x, y): 1 \leq x \leq 2,-1 \leq y \leq 1\}$$
Step 1
The region $R$ is defined by $1 \leq x \leq 2$ and $-1 \leq y \leq 1$. We can write the double integral as follows: $$\iint_{R}\left(x^{2}+x y\right) d A = \int_{1}^{2}\int_{-1}^{1}\left(x^{2}+x y\right) dy dx$$ Show more…
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