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$f(x)=x^{2} e^{-2 x}$ and $y=0,$ between $x=-1$ and 1

$$\frac{e^{2}-5 e^{-2}}{4}$$

Calculus 1 / AB

Chapter 5

Integration and its Applications

Section 9

Two Integration Techniques

Integrals

Baylor University

University of Michigan - Ann Arbor

Boston College

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.

01:17

$$F(x)=1-e^{-2 x} \qua…

12:11

$$f(x)=x^{3} \text { betwe…

04:25

05:30

$$f(x)=2 x^{2}+4 x-3, \qua…

03:58

$f(x)=(1+2 x)^{1 / x}$

in this problem we're going to calculate a probability function given the community distribute function. So recorded in the textbook, we have the probability of f p X. It should be the dural two of the community distribute function. Okay, so in the other side, community distribution is the integration. Um so this one should be XJ some X 02 X of the verbal dysfunction. So these two equations equations are very important And in this problem about going to use this one. So we have the property. Um The convention distribution function is one minus seated problem negative two X when X is square and zero. So were able to calculate at the probably help function is just the narrative of fX And it's gonna be two times to the public to two X. And don't forget that we have that domain. So this would be the answer.

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