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Did I do this problem right? (calculus-area of a region)

Mathematics
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the intersection points on the graph are (-2,1) and (2,9)
i did: \[\int\limits_{-2}^{9} (x^2+2x+1-(2x+5))dx \] and I got 605/3. But now I'm starting to think I should have switched the functions. like:\[\int\limits_{-2}^{9} (2x+5)-(x^2+2x+1))dx\]
how did you get those pretty integer intersections? how did that one function magically appear?

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Other answers:

there's a picture of the two graphs and the intersections
oh wait...i made a mistake. hold on.
I'm suppose to ignore that one function?
\[f(x)=x^2+2x+1 \] \[g(x)= 2x+5\]

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