Compute the double integral of fx y 30x2y over the given

Question

1. Evaluate the integral of f(x, y) = x²y over the shaded domain D. (Assume that a = 2.)

∫∫_D x²y dA =

2. Compute the double integral of f(x, y) = 30x²y over the given shaded domain in the following figure.

3. Integral f(x, y) = x over the region D bounded by y = x² and y = 2x + 3.

∫∫_D x dA

4. Evaluate ∫∫_D 10y/x dA where D is the shaded part of the graph of y = √(4 - x²) (a semicircle of radius 2). (Round your answer to four decimal places.)

∫∫_D 10y/x dA =