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# If $f(x)$ is the slope of a trail at a distance of $x$ miles from the start of the trail, what does $\displaystyle \int^5_3 f(x) \, dx$ represent?

## $\int_{3}^{5} E^{\prime}(x) d x=E(5)-E(3)$

Integrals

Integration

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##### Catherine R.

Missouri State University

##### Heather Z.

Oregon State University

##### Samuel H.

University of Nottingham

##### Michael J.

Idaho State University

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### Video Transcript

by the total change. The arm we know we have the integral from 3 to 5 of eat prime of acts de acts on We know by the trouble changed the arm. This is equivalent to e of the top bound, which is five majesty of the lower bound, which is three. Okay, this represented the change in elevation between exes three miles. Shoot X is five miles. That's what this interval represents.

#### Topics

Integrals

Integration

##### Catherine R.

Missouri State University

##### Heather Z.

Oregon State University

##### Samuel H.

University of Nottingham

##### Michael J.

Idaho State University

Lectures

Join Bootcamp