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Problem 56 Easy Difficulty

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?

Answer

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

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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.