Problem

Evaluate the integral. $ \displaystyle \int^2…

00:29

Problem 34 Medium Difficulty

Evaluate the integral.

$ \displaystyle \int^3_0 (2\sin x - e^x) \,dx $

Answer

$$
\int_{0}^{3}\left(2 \sin x-e^{x}\right) d x=3-2 \cos (3)-e^{3}
$$

More Answers

00:45

Frank L.

Topics

Integrals

Integration

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 5

Integrals

Section 3

The Fundamental Theorem of Calculus

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Video Transcript

Okay, let's write to inter Girls is to this the constance we can bring on the outside sine x d x minus integral from 0 to 3. You did the axe detox, which gives us two times negative co sign X. Now that we're integrating, plugging in This gives us three minutes to close sign of three miles east of the Cube and we could just leave it like that.

Amrita B.

Topics

Integrals

Integration

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 5

Integrals

Section 3

The Fundamental Theorem of Calculus

Top Calculus 1 / AB Educators

Kayleah T.

Harvey Mudd College

Caleb E.

Baylor University

Samuel H.

University of Nottingham

Michael J.

Idaho State University