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Use Property 8 to estimate the value of the integral.

$ \displaystyle \int^2_0 xe^{-x} \,dx $

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01:44

Frank Lin

Calculus 1 / AB

Chapter 5

Integrals

Section 2

The Definite Integral

Integration

Campbell University

University of Michigan - Ann Arbor

University of Nottingham

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.

02:42

Use Property 8 to estimate…

04:15

02:54

00:28

0:00

Use Property 8 of integral…

00:35

01:09

06:46

the first thing we can do is take the derivative right in front of form. Now we know of Prime Texas steer when access one. Therefore, we contest the values here wanted to 0.37 r e to the negative. One been up of two is to e to the negative two or 0.27 Therefore, we know we have zero is less than or equal to the intro from 0 to 2 x e to the minus one detox, which is less than or equal to two e to the minus one.

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