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Evaluate the given definite integral.$\int_{2}^{7} 4 d x$

20

Calculus 1 / AB

Chapter 5

Integration and its Applications

Section 6

The Definite Integral

Integrals

Missouri State University

Oregon State University

Harvey Mudd College

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.

04:27

Evaluate the integral.…

01:15

Evaluate the definite inte…

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Evaluate the following int…

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04:18

Okay, So, um and we look at this problem the integral from 227 of four DX. The answer makes perfect sense. If you look at the graph, you know you have a horizontal line at, like was for well supported. That's the equation. And your ex bounds are from two, 234567 So from 2 to 7 has within five. That's the birth of this rectangle in the height of four or five times four gives you an area of 20 so that should be your answer. Um, so let's actually work it out where you do the integral of this, which is the anti drift if you add one to your experiment. And if you need to think about this is actually zero power and makes sense, that's actually the first. You divide by any experiment from 2 to 7, and then you plug in your balance four times seven four times to plugging those balance in for X, and you subtract Well, now you're at 28 14, 7 minus 84 times to to give you exactly 20 the correct answer

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