Problem

Evaluate the indefinite integral. $ \displayst…

00:33

Problem 20 Easy Difficulty

Evaluate the indefinite integral.

$ \displaystyle \int \frac{z^2}{z^3 + 1} \, dz $

Answer

$\frac{1}{3} \ln \left|z^{3}+1\right|+C$

More Answers

01:23

Frank L.

Topics

Integrals

Integration

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 5

Integrals

Section 5

The Substitution Rule

Discussion

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Video Transcript

We know that you iss cubed cost one Which means the Z square daisy is Do you divide by three which would be composed The constant 1/3. Multiply it by one over you, do you which gives us 1/3 comes natural log of you and I we can substitute you is C cubed plus one plus c.

Amrita B.

Topics

Integrals

Integration

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 5

Integrals

Section 5

The Substitution Rule

Top Calculus 1 / AB Educators

Grace H.

Numerade Educator

Anna Marie V.

Campbell University

Samuel H.

University of Nottingham

Michael J.

Idaho State University