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There are various methods to calculating the area under a curve, for example, Rectangle Method 1, Trapezoidal Rule 2 and Simpson’s Rule 3The following procedure is a simplified method.
Consider the curve below:
Figure 6.1 Numerical integration
Each segment under the curve can be calculated as follows:
Therefore, if we take the sum of the area of each trapezoid, given the limits, we calculate the total area under a curve. Consider the following example.
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