Evaluating a Double Integral In Exercises
13-20, set up integrals for both orders of integration.
Use the more convenient order to evaluate the
integral over the plane region R.
13. \iint_R xy \, dA
R: rectangle with vertices (0, 0), (0, 5), (3, 5), (3, 0)
14. \iint_R \sin x \sin y \, dA
R: rectangle with vertices (-?, 0), (?, 0), (?, ?/2), (-?, ?/2)
15. \iint_R \frac{y}{x^2 + y^2} \, dA
R: trapezoid bounded by y = x, y = 2x, x = 1, x = 2