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

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 ∫_a^b[ƒ[x² - g(x)] dx.

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