In these cases, the most common way to find the answer is to perform the integration "numerically". However, for curves produced from data, or for curves that are produced by some complicated functions, analytical integration may not be possible. For a curve produced by a function, you may be able to integrate the function from a to b and calculate the area under the curve in that way. Finding the area under a curve is a useful tool in a large number of problems in many areas of science, engineering, and business.
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