Definite Integrals

The definite integral ofbetween the valuesandcalculates the area under the graph between the valuesandThis is writtenwhere andare the limits of integration andis the integral ofThe larger value ofis the upper limitand the smaller value ofis the lower limit

Example: Find the area under the curvebetweenand

To evaluate this integral we use the identityrearranging it to give

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