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Tutorial.math.lamar.edu

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If we know ahead of time what the function is a graph of we can use that information to help us with the graph and if we don t know what the function is ahead of time then all we need to do is plug in some x x s compute the value of the function which is really a y y value and then plot the points Example 1 Sketch the graph of f x x V lim n n i 1A x i x b a A x dx V lim n i 1 n A x i x a b A x d x So in this case the volume will be the integral of the cross sectional area at any x x A x A x Note as well that in this case the cross sectional area is a circle and we could go farther and get a formula for

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