If and g are continuous and (x) > g(x) on [a, b], then the area between

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If ƒ and g are continuous and ƒ(x) > g(x) on [a, b], then the area between the two curves from x = a to x = b is ∫ab[ƒ[x2 - g(x)] dx.

Determine whether each statement is true or false, and explain why.

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