Over and Underestimation. Calculus-Integrals: Approximating Area

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In general, if a curve is always decreasing in an interval, using left endpoints for the riemann sum will give an overestimation of the area under the curve, whereas right endpoints will give an underestimation. On the other hand, if a curve is always increasing in an interval, using left endpoints for the riemann sum will give an underestimation of the area under the curve, whereas right endpoints will give an overestimation.

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10 min 7 sec

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