Problem

Evaluate the integral by making the given substit…

00:44

Problem 5 Easy Difficulty

Evaluate the integral by making the given substitution.

$ \displaystyle \int \frac{x^3}{x^4 - 5} \, dx $, $ u = x^4 - 5 $

Answer

$$\frac{1}{4} \ln \left|x^{4}-5\right|+C$$

More Answers

01:09

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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Watch More Solved Questions in Chapter 5

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Problem 5

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Video Transcript

okay, We know the problems Tools we can substitute you is extra The fourth minus five, which means that we get d'you we take the derivative is four x cubed DD X, which gives us X cube de axe is do you divide by four Which means pulling out the constant Remember, Constable, the constant out of ventricles we have thus and we know that we we know the integral one over you is natural log of you pussy Sonata Final step substitute back in Obviously we don't want you in the final answer and we have our solution.

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

Heather Z.

Oregon State University

Caleb E.

Baylor University

Michael J.

Idaho State University

Joseph L.

Boston College