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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §5.1 The Idea of the Integral, #22 · Calculus · Integrals

What is the area … under the line … above the interval…

This problem is about a company whose expense rate $v (x) = 6 - x$ is decreasing.

What is the area $f (x)$ under the line $v (x) = 6 - x$ above the interval from $x$ to $6$ ? What is the derivative of this $f (x)$ ?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §5.1 The Idea of the Integral, #22

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