Problem

Evaluate the indefinite integral. $ \displayst…

00:28

Problem 27 Easy Difficulty

Evaluate the indefinite integral.

$ \displaystyle \int (x^2 + 1)(x^3 + 3x)^4 \, dx $

Answer

$\frac{1}{15}\left(x^{3}+3 x\right)^{5}+C$

More Answers

01:28

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 is x cubed plus three acts. Which means that D'You the derivative tried by three is X squared plus one the axe. Which means we're evaluating the integral. We can pull out the constant from thirds and then using the power rule, we know we increase the exploited by one divide by the new exponents. Now back. Substitute us execute plus three AKs. What?

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

Kayleah T.

Harvey Mudd College

Caleb E.

Baylor University

Kristen K.

University of Michigan - Ann Arbor