Problem

The current in a wire is defined as the derivativ…

00:39

Problem 51 Easy Difficulty

If $ w'(t) $ is the rate of growth of a child in pounds per year, what does$ \displaystyle \int^{10}_5 w'(t) \,dt $ represent?

Answer

$$w(10)-w(5)$$

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00:35

Frank L.

00:27

Amrita B.

Topics

Integrals

Integration

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 5

Integrals

Section 4

Indefinite Integrals and the Net Change Theorem

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Video Transcript

all right, we are given the derivative of the function of W. T. To represent the rate of growth of the child in palace per year and were asked then to determine what this represents our first things. First, we know that the integral of a derivative we'll need you to the original function so that this would go away. We also have to take account are five in our 10 here. The way we do it is we take the top number for the integral and subtracted by the bottom number of the integral. So you say, Well, w ci 10 to 5 people to W 10. So what would WB when t is equal to 10, subtracted by W on t z Go too far, right? And that is the representation of this integral here. All right, well, I hope that clarifies the question. Thank you so much for watching

Mutahar M.

The University of Texas at Arlington

Topics

Integrals

Integration

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 5

Integrals

Section 4

Indefinite Integrals and the Net Change Theorem

Top Calculus 1 / AB Educators

Catherine R.

Missouri State University

Anna Marie V.

Campbell University

Heather Z.

Oregon State University

Kristen K.

University of Michigan - Ann Arbor