Suppose that $f(x, y) = 5x + y$ on the domain $D = \{(x, y) | 1 \le x \le 2, x^2 \le y \le 4\}$. Then the double integral of $f(x, y)$ over $D$ is $\iint_D f(x, y)dxdy = $
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The domain D is given by {(x,y) | 1 ≤ x^2 ≤ y^4}. To find the limits of integration for x, we need to determine the range of x values that satisfy the inequality 1 ≤ x^2 ≤ y^4 for a given y. Since x^2 is always positive, we can rewrite the inequality as 1 ≤ Show more…
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