💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here! # Each of the regions $A$, $B$, and $C$ bounded by the graph of $f$ and the $x$-axis has area 3. Find the value of $$\int^2_{-4} \bigl[ f(x) + 2x + 5 \bigr] \,dx$$

## 15

Integrals

Integration

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##### Top Calculus 1 / AB Educators  ##### Catherine R.

Missouri State University ##### Heather Z.

Oregon State University Lectures

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### Video Transcript

okay. We know that we have the ability to break up the three into rolls into three different parts that we can then write the area's off toe, add them together. So I'm breaking up the into girls right now. As you can see, we know we have negative three because we had negative three plus three minus B, which is negative three. And then we knew we had negative 16 post for witches. Negative 12 and then five times six, which is 30 giving us 15 total. #### Topics

Integrals

Integration

##### Top Calculus 1 / AB Educators  ##### Catherine R.

Missouri State University ##### Heather Z.

Oregon State University Lectures

Join Bootcamp