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

With … in 19–22, find the maximum … and minimum … and…

Choose $u (x)$ and change limits. Compute the integral.

$\int_{0}^{1} x^{3} (1 - x)^{3} d x$ ( $u = 1 - x$ )

With $Δ x = \frac{1}{2}$ in 19–22, find the maximum $M_{k}$ and minimum $m_{k}$ and upper and lower sums $S$ and $s$ .

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

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