Evaluate R y sin(xy) dA, where R = [3, 9] × [0, π]. SOLUTION 1 If we first integrate with respect to x, we get R y sin(xy) dA = π 0 9 3 y sin(xy) dx dy = π 0 x = 9 x = 3 dy = π 0 dy = π 0 = .

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Step-by-step explanation:

The double integral is over a rectangular region.

Integrating wrt x first makes our work easier.

Whether we integrate wrt to y first or wrt x first the result is still zero.

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step-by-step explanation:

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