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# Evaluate the integral. $\displaystyle \int^2_{-2} f(x) \,dx$ where $f(x) = \left\{ \begin{array}{ll} 2 & \mbox{if$ -2 \le x \le 0 $}\\ 4 - x^2 & \mbox{if$ 0 < x \le 2 $} \end{array} \right.$

## $$\frac{28}{3}$$

Integrals

Integration

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##### Catherine R.

Missouri State University

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Oregon State University

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University of Michigan - Ann Arbor

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Idaho State University

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### Video Transcript

okay. We know property of inter girls is that we can split thumb. So we're splitting into two dear ax plus four minus x squared DX. Which means now we can take the integral plug in only end up with 28 divided by three.

#### Topics

Integrals

Integration

##### Catherine R.

Missouri State University

##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University

Lectures

Join Bootcamp