Using a right Riemann sum with 2 equal subintervals

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

Using a right Riemann sum with 2 equal subintervals, an approximation to ∫02x2 dx\displaystyle\int_{0}^{2}x^{2}\,dx is calculated. What is the percent error of this approximation, to the nearest tenth of a percent? (a) 46.7\% (b) 62.5\% (c) 87.5\% (d) 12.5\%

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