Approximate the double integral of (x, y) over the region R partitioned by the given vertical lines

Approximate the double integral of ƒ(x, y) over the region R partitioned by the given vertical lines x = a and horizontal lines y = c. In each sub-rectangle, use (x_k, y_k) as indicated for your approximation.

ƒ(x, y) = x + y over the region R bounded above by the semicircle y = √1 - x² and below by the x-axis, using the partition x = -1, -1/2, 0, 1 /4, 1/2, 1 and y = 0, 1/2, 1 with (x_k, y_k) the lower left corner in the kth sub-rectangle.

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If R f(x, y) dA = n Σ f(xk, 3) ΔΑΚ k=1