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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §5.5 The Definite Integral, #24 · Calculus · Integrals

The difference … in 21 is the area … of the far…

Repeat 19 and 20 with $Δ x = \frac{1}{4}$ and compare with the correct answer.

The difference $S - s$ in 21 is the area $2^{3} Δ x$ of the far right rectangle. Find $Δ x$ so that $S < 4.001.$

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §5.5 The Definite Integral, #24

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