Approximate the double integral of (x, y) over the region R partitioned by the given vertical lines
Question:
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 (xk, yk) 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 (xk, yk) the lower left corner in the kth sub-rectangle.
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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