Problem

Evaluate the integral. $ \displaystyle \int^4…

00:25

Problem 40 Medium Difficulty

Evaluate the integral.

$ \displaystyle \int^3_1 \frac{y^3 - 2y^2 - y}{y^2} \,dy $

Answer

$$
-\ln 3
$$

Discussion

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Video Transcript

okay. We know the first thing we can do is divide by the denominator in order to simplify this further before integration. When we end up with dust now we can integrate. Increase the exploited by one divide by the new exponents from the bounds of 123 No, we're plugging in when we get negative. Natural Look of three is our solution.

Amrita B.

Topics

Integrals

Integration

Calculus: Early Transcendentals

Chapter 5

Integrals

Section 3

The Fundamental Theorem of Calculus

Top Calculus 1 / AB Educators

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Campbell University

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Problem

Evaluate the integral. $ \displaystyle \int^4…

Problem 40 Medium Difficulty

Evaluate the integral.

$ \displaystyle \int^3_1 \frac{y^3 - 2y^2 - y}{y^2} \,dy $

Answer

$$
-\ln 3
$$

More Answers

Topics

Calculus: Early Transcendentals

Discussion

Top Calculus 1 / AB Educators

Anna Marie V.

Heather Z.

Kayleah T.

Caleb E.

Calculus 1 / AB Bootcamp

Precalculus Review - Intro

Functions on the Real Line - Overview

Recommended Videos

Watch More Solved Questions in Chapter 5

Video Transcript

Topics

Calculus: Early Transcendentals

Top Calculus 1 / AB Educators

Anna Marie V.

Heather Z.

Kayleah T.

Caleb E.

Calculus 1 / AB Bootcamp

Precalculus Review - Intro

Functions on the Real Line - Overview

Recommended Videos

Problem

Evaluate the integral. $ \displaystyle \int^4…

Problem 40 Medium Difficulty

Evaluate the integral. $ \displaystyle \int^3_1 \frac{y^3 - 2y^2 - y}{y^2} \,dy $

Answer

$$-\ln 3$$

More Answers

Topics

Calculus: Early Transcendentals

Discussion

Top Calculus 1 / AB Educators

Anna Marie V.

Heather Z.

Kayleah T.

Caleb E.

Calculus 1 / AB Bootcamp

Precalculus Review - Intro

Functions on the Real Line - Overview

Recommended Videos

Watch More Solved Questions in Chapter 5

Video Transcript

Topics

Calculus: Early Transcendentals

Top Calculus 1 / AB Educators

Anna Marie V.

Heather Z.

Kayleah T.

Caleb E.

Calculus 1 / AB Bootcamp

Precalculus Review - Intro

Functions on the Real Line - Overview

Recommended Videos

Evaluate the integral.

$ \displaystyle \int^3_1 \frac{y^3 - 2y^2 - y}{y^2} \,dy $

$$
-\ln 3
$$