a. Sketch the curve y = x 3 for 3 < x < 3. b. Shade the

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a. Sketch the curve y = x3 for −3 < x < 3.

b. Shade the area between the curve, the x-axis and the line x = 2.

c. Find, by integration, the area of the region you have shaded.

d. Without any further calculation, state, with reasons, the value of ∫2-2 x3 dx.

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