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If $ F(x) = \displaystyle \int^x_2 f(t) \, dt $, where $ f $ is the function whose graph is given, which of the following values is largest?

(A) $ F(0) $ (B) $ F(1) $ (C) $ F(2) $ (D) $ F(3) $ (E) $ F(4) $

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Calculus 1 / AB

Chapter 5

Integrals

Section 2

The Definite Integral

Integration

Missouri State University

Oregon State University

Idaho State University

Lectures

05:53

In mathematics, an indefinite integral is an integral whose integrand is not known in terms of elementary functions. An indefinite integral is usually encountered when integrating functions that are not elementary functions themselves.

40:35

In mathematics, integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other. Given a function of a real variable (often called "the integrand"), an antiderivative is a function whose derivative is the given function. The area under a real-valued function of a real variable is the integral of the function, provided it is defined on a closed interval around a given point. It is a basic result of calculus that an antiderivative always exists, and is equal to the original function evaluated at the upper limit of integration.

03:44

If $F(x)=\int_{2}^{x} f(t)…

00:27

02:07

01:04

If $F(x)=\int_{2}^{2} f(t)…

0:00

Problems A-E

03:40

For the function $f$ whose…

05:07

For the function $ f $ who…

12:30

Let $ \displaystyle g(x) =…

So the graph ofthe Foo offs sketch it here. You can look at a more detailed graph out on your textbook. It looks like this. So this is a graph of floor case. Haven't upper efforts into growth that they ask you? Which one is it? Largest. In this case, there is actually a simple enough because F three or four if you look as integral effort, this lower case of his below abscesses. So this will be the last zero plus zero. How about fo zero? What if we integral from zero to two or water to it will be a positive number. But now we swapped the opera pile about his saturated from two to zero in cellars here to To To the white stepped off one, two, two. That means all these things will be less than zero and f off two, by definition would be exactly the Europeans. We integrate the upper bond. Lord Jesus said it's the same. So this so sea is the largest one because all others are next events. This white horse, there

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