Just a conceptual clarification question...
lf l have to find the area between two curves, say... uh... um...
f(x)=-x^2+4x+2
g(x)=x-2
a = uh... 0 and b = hmmm... how about 3?
Would l just subtract the integrations of each equation? lf so, which one would be subtracted from the other? l'm leaning towards:
∫30(f(x))−(g(x))
Due to the area of g(x), clearly smaller then f(x)'s. (l used the graph both functions make to justify this)
l appreciate any clarification or contributions towards my efforts. You don't need to answer the question if don't have to. l just wanted to know which gets subtracted from what.