Find the area of the region bounded by the graphs of y = −x2 + 3x + 4 and

y = 4.

a) 2.7
b) 4.5
c) 28.5
d) 16.5

1 answer

the graphs intersect at x = 0,3 so the area is just
∫[0,3] (-x^2+3x+4) - 3 dx