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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §5.6 Properties of the Integral and Average Value, #40 · Calculus · Integrals

If … then

40 If $v(x) = \begin{cases} 2x \text{ for } x < 3 \\

If $v (x) = {2 x - 2 x for x < 3 for x > 3$ then $f (x) = {x^{2} - x^{2} for x < 3 for x > 3$ .
Thus $\int_{0}^{4} v (x) d x = f (4) - f (0) = - 16$ . Correct the mistake.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §5.6 Properties of the Integral and Average Value, #40

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