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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 $
$$\frac{215}{648}$$
00:47
Frank L.
Calculus 1 / AB
Chapter 5
Integrals
Section 3
The Fundamental Theorem of Calculus
Integration
Missouri State University
Campbell University
Oregon State University
Baylor University
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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.
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