3.82: Area between curve and normal

0606/11/O/N/25 — Question 10 · 11 marks

3.82 diagram
The diagram shows the curve y=x29x+18y = x^{2} - 9x + 18 and the line \ell, the normal to this curve at the point where x=5x = 5.
Find the area of the shaded region.
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