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Problem 50 Medium Difficulty

Use a graph to give a rough estimate of the area of the region that lies beneath the given curve. Then find the exact area.

$ y = x^{-4} $, $ 1 \le x \le 6 $

Answer

$$
\frac{215}{648}
$$

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Video Transcript

Okay. This shaded region is the area we know. It's from 1 to 3, which is about 1/3 of a square unit. So now to write out are integral. Okay, Remember when we integrated increased the exponents by one divide by the new exponents and we end up with 215 divide by 648.