Question

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

f(x)=x^2+2x+1 g(x)=2x+5
There is a graph given and it shows the points of intersection, which are (-2,1) and (2,9).
This is what I did:

Answer 1

\[\int\limits_{-2}^{2}(x^2+2x+1)-(2x+5))dx\]
But I'm wondering if I was supposed to do this:
\[\int\limits_{-2}^{2}((2x+5)-(x^2+2x+1))dx\]

Answer 2

If the values for g(x) are grater than the values for f(x) from x=-2 to x=2, then should I do int (g(x)-f(x)) dx from -2 to 2 ?

Answer 3

The second way is the right way

Answer 4

http://www.wolframalpha.com/input/?i=plot+ {x^2+%2B+2+x+%2B+1%2C+2+x+%2B+5}

Answer 5

The line is above the parabola

Answer 6

Thank you! :)

Answer 7

YW