Finding the area between curves

[FARADAY JR]

Homework Statement

find the area bounded by:
y=X^2-2x
y=X+4

Homework Equations

HERE'S A LINK TO THE PROBLE:
http://picasaweb.google.com/luaykhouri/UntitledAlbum#

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The Attempt at a Solution

I tried solving the problem more than once, but i keep getting a wrong answer.
my teacher said the answer should be 125/6 and I keep getting 99/6, so can you please check my work and tell me what I did wrong. thank you.
[PLAIN]http://picasaweb.google.com/luaykhouri/UntitledAlbum#

Homework Statement

Homework Equations

The Attempt at a Solution

Homework Statement

Homework Equations

The Attempt at a Solution

 

[eumyang]

At the very end, it should be
\frac{112}{6} - \left( -\frac{13}{6} \right)
not
\frac{112}{6} - \frac{13}{6}

 

[FARADAY JR]

oh good eyes. thank you so much for pointing that out for me. thank you