Help with calculus please

Question

Find the area of the region bounded by the graphs of y = -x² + 5x + 2 and y = 2.Options:

1)	30.833
2)	11.333
3)	40.883
4)	20.833

Answer 1

Option 4 is the correct answer : 20.833

First set: 2= -x² _{+ 5x + 2, solve for x, = 0, 5}

_{now integrate ( Yt - Yb) dx from limits 0 to 5.}

_{the result of the integral is = 20.833}