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Approximate the indicated area by connecting succesive $y^{-}$ values on the curve by a straight line, resulting in trapezoids.Use $n=4$ trapezoids to estimate the area of the region in Exercise 13.

20.34375

Calculus 1 / AB

Chapter 5

Integration and its Applications

Section 4

Approximation of Areas

Integrals

Missouri State University

Campbell University

University of Nottingham

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.

00:52

Find the area under the gi…

01:44

Use the Midpoint Rule with…

02:31

Approximate the area of th…

00:55

03:25

Use Riemann sums and a lim…

in discussion. Condom The area under the curve. It can be defined as integral on the function F X, the X for interval from HP in discussion here were given that the function why it got too far on the interval from 1 to 3. So here this will be the and this will be the P and therefore the area. Then we go to integral from 1 to 3. The function here will be four X Then we get ego to this Instagram the four equal to the four X evaluated under 123 Then we get to go to the four times three minus one. Then we can go to the four times too good to eat, okay?

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