MathAnalysisCalculusIntegrals

Introduction to Integrals

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What is the relative approximation error between the Riemann Sum for f(x)=x2f(x)=x^2 , with x[2,4]x \in [2, 4] and n=5n=5, using the right-most point of a given interval for xix_i, and the exact area under the curve for the same function over the same interval?

Enter your answer as a percentage, without the % symbol. Round to the nearest integer.

Tip: The relative approximation error is computed as Error%=actual valueapproximated valueactual value100%Error_\% =\frac{ | \text{actual value} - \text{approximated value} | }{ \text{actual value}} \cdot 100 \%

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