Problem

Evaluate the indefinite integral. $ \displayst…

00:41

Problem 36 Medium Difficulty

Evaluate the indefinite integral.

$ \displaystyle \int \frac{2^t}{2^t + 3} \, dt $

Answer

$\frac{\ln \left(2^{t}+3\right)}{\ln 2}+C$

More Answers

02:10

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 to to the t plus three, which means that de you is to the g natural over to D. T. Which means that u to the t dtv as do you over natural too. Which means we pull out one over natural with two times the integral one over you, do you? Which gives us one over Natural of two. Tim's Natural Look of You plus C, which gives a snatcher walk of tea to the two to the teeth plus three. Divide by natural of two, plus C is 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

Kayleah T.

Harvey Mudd College

Caleb E.

Baylor University

Michael J.

Idaho State University