Question

find the area between the curves f(x)=(2-x)^2 and g(x)=square root of x for the interval [0,3]

Answer 1

we are going to need the point where these two graphs intersect, because they will cross each other, can you find that?

Answer 2

we need the shaded area. Since area is always positive, we always need to subtract the lower area from the upper one, which meant we will need to split up our integral at the point where the graphs cross. To find that figure out when\[f(x)=g(x)\]