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Definite Integral

The values of the function A'(t) are given by the following table:

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Approximate the area under the graph of A'(t) from t = 0 to t = 5 using left and right sums over five equal subintervals. Use these sums to estimate the value of the definite integral of A'(t) from 0 to 5.

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The integral of A'(t) is approximately the area under A'(t). This can be approximated using areas of rectangles (because it's easy to find the area of a rectangle). We want to use 5 equal subintervals between t = 0 and t = 5. Therefore, the subintervals will be 0-1, 1-2, 2-3, ...

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