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Problem 44 Medium Difficulty

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 $}
\end{array} \right.$

Answer

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

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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.