Problem

Evaluate the indefinite integral. Illustrate and …

01:16

Problem 48 Hard Difficulty

Evaluate the indefinite integral.

$ \displaystyle \int x^3 \sqrt{x^2 + 1} \, dx $

Answer

$\frac{1}{s} \sqrt{\left(n^{2}+1\right)^{5}}-\frac{1}{3} \sqrt{\left(x^{2}+1\right)^{3}}+c$

Discussion

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Video Transcript

This is the integral we are trying to integrate, which means that we know that you can beat the inside of the square root betweens writing this detox, the derivative is do you over to X and the derivative of one is simply Xerox. It's constant. Therefore, now we can write this oz 1/2 because it's the constant. So it goes on the outside. Integrate us. Remember the exponents increased by one divide by the exponents. This is the power rule outlined in the textbook back. Substitute us X squared plus one. And don't forget your pussy.

Amrita B.

Topics

Integrals

Integration

Calculus: Early Transcendentals

Chapter 5

Integrals

Section 5

The Substitution Rule

Problem

Evaluate the indefinite integral. Illustrate and …

Problem 48 Hard Difficulty

Evaluate the indefinite integral.

$ \displaystyle \int x^3 \sqrt{x^2 + 1} \, dx $

Answer

$\frac{1}{s} \sqrt{\left(n^{2}+1\right)^{5}}-\frac{1}{3} \sqrt{\left(x^{2}+1\right)^{3}}+c$

More Answers

Topics

Calculus: Early Transcendentals

Discussion

Top Calculus 1 / AB Educators

Anna Marie V.

Heather Z.

Samuel H.

Joseph L.

Calculus 1 / AB Bootcamp

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Functions on the Real Line - Overview

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Watch More Solved Questions in Chapter 5

Video Transcript

Topics

Calculus: Early Transcendentals

Top Calculus 1 / AB Educators

Anna Marie V.

Heather Z.

Samuel H.

Joseph L.

Calculus 1 / AB Bootcamp

Precalculus Review - Intro

Functions on the Real Line - Overview

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Problem

Evaluate the indefinite integral. Illustrate and …

Problem 48 Hard Difficulty

Evaluate the indefinite integral. $ \displaystyle \int x^3 \sqrt{x^2 + 1} \, dx $

Answer

$\frac{1}{s} \sqrt{\left(n^{2}+1\right)^{5}}-\frac{1}{3} \sqrt{\left(x^{2}+1\right)^{3}}+c$

More Answers

Topics

Calculus: Early Transcendentals

Discussion

Top Calculus 1 / AB Educators

Anna Marie V.

Heather Z.

Samuel H.

Joseph L.

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.

Samuel H.

Joseph L.

Calculus 1 / AB Bootcamp

Precalculus Review - Intro

Functions on the Real Line - Overview

Recommended Videos

Evaluate the indefinite integral.

$ \displaystyle \int x^3 \sqrt{x^2 + 1} \, dx $