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The area represents distance traveled (or displacement) between x = 0 and x = t.

The shape is a trapezoid.

Height is horizontal, so it represents time, in hours. Evaluate the area of a trapezoid. Simplify the units.

Find A (20x + 30, 0 ≤ x ≤ 2).

Use the eTool below to set values for t.
Click the link at right for the full version of the eTool: Calc 1-37 HW eTool