Let A(x) = x 4 3 4 t 2 dt. (a) For x = 3, 2,

Question:

Let A(x) =∫^x₋₄³√4 − t² dt.

(a) For x = −3, −2, . . . , 4, calculate a Riemann sum that approximates the definite integral defining A(x). Plot the points (x, A(x)) for x = −4, −3, −2, . . . , 4 and connect them with a smooth curve to obtain a graph of A.
(b) Examine A to determine the critical points of A and the increasing/decreasing behavior of the graph of A.

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