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Problem 69 Hard Difficulty

If $ f(1) = 12 $, $ f' $ is continuous, and $ \displaystyle \int^4_1 f'(x) \, dx = 17 $, what is the value of $ f(4) $?

Answer

29

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Video Transcript

okay. Given the fundamental theory cockles part to Rio the integral from A to B f of x d. X is off of Beamers off of Ed. Therefore, given the integral from 1 to 4 after prime of Axe DX, we know this is a government 17 which means that before come on, it's off of one is also equipment 17. We know everyone is actually 12 so let's not plug in what we know. This means that half of four is 17 post 12 so after four is 29.