Problem

Evaluate the indefinite integral. $ \displayst…

00:43

Problem 33 Medium Difficulty

Evaluate the indefinite integral.

$ \displaystyle \int \cos (1 + 5t) \, dt $

Answer

$$\frac{1}{5} \sin (1+5 t)+C$$

More Answers

00:58

Frank L.

Topics

Integrals

Integration

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 5

Integrals

Section 5

The Substitution Rule

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Video Transcript

we know that you is wonderful. Five t which means that to you as five d. T. And readiness in terms of DT alone we have, do you divide by five, which means we can pull out the constant of 1/5 multiply it by the integral of co sign you to you, which integrating this gives us 1/5 sign. You plus C on deacon. Backed up to you is one plus five t. We have 1/5 sign one plus five t 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

Heather Z.

Oregon State University

Caleb E.

Baylor University

Kristen K.

University of Michigan - Ann Arbor