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We observe that as We now are able to define the area under a curve as a limit.

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The definite integral computes the net area under the curve.

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We begin by restricting our attention to thin plates of uniform density. Any of integration application of it can integrate between and applicable for example, it states that point approximation. While this method of substitution is a very powerful method for solving a variety of problems, we will find that we sometimes will need to modify the method slightly to address problems, as in the following example.

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