Question

find the area of the region bounded by the graphs of f(x)=x^2+2 and g(x)=4-x

Answer 1

draw a graph
set them equal to each other, so we can see where they intersect
x^2+2 = 4-x
x^2 +x -2 = 0
(x+2)(x-1) = 0

To find the area, we must integrate the difference between the upper function and lower function

sub the values