# calc

posted by DD

Each of the regions A, B, and C bounded by f(x) and the x-axis has area 5. Find the value of
∫2 [f(x)+3x^2+2]dx.
−4

I know to solve I can find the antiderivative of the equation but im not sure how to do this because of the f(x) in the parentheses.

1. Steve

no idea what the regions are. But if f(x) = F'(x), then the areas are

x^3+2x+F(x)[2,4]
= (64+8+F(4))-(8+4+F(2))

Presumably you have some way of finding F(x)

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