Problem

Use a graph to give a rough estimate of the area …

02:31

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

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

More Answers

00:47

Frank L.

Topics

Integrals

Integration

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 5

Integrals

Section 3

The Fundamental Theorem of Calculus

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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.

Amrita B.

Topics

Integrals

Integration

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 5

Integrals

Section 3

The Fundamental Theorem of Calculus

Top Calculus 1 / AB Educators

Catherine R.

Missouri State University

Heather Z.

Oregon State University

Kayleah T.

Harvey Mudd College

Joseph L.

Boston College