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Numerade Educator

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Problem 83 Hard Difficulty

Find a function $ f $ and a number $ a $ such that
$ \displaystyle 6 + \int^x_a \frac{f(t)}{t^2} \, dt = 2 \sqrt{x} $ for all $ x > 0 $

Answer

$a=9$

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Video Transcript

Okay. The first thing you know we could do is differentiate now to find a we know you can substitute off of t is squirt of tea times t Look, we end up with nine equals a