Explore BrainMass

Definite Integral

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

See attached file for full problem description.

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.


Solution Preview

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, ...