Question: Evaluate the double integral.8x cos(y) dA, D is bounded by y =0, y = x2, x =8DStep 1The region D is below the parabolay =
Evaluate the double integral.8x cos(y) dA, D is bounded by y =0, y = x2, x =8DStep 1The region D is below the parabolay = x2,above the x-axis, and to the left of x =8. This can be illustrated as follows.Viewing this as a Type I region, we can see that for a given x-value, y varies from the x-axis up to the parabola. Therefore, we have8x cos(y) dAD=08x cos(y) dy dx0.
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