Let g be a differentiable function, and let the range of g be an interval I. Suppose that f is a function defined on I and that ♬ is an antiderivative of f on I. Then A ff(g(x)) (g'(x)) dx = F(g(x)) + C ® ff(g(x))(g'(x)) dx = F(g(x)) + C Off(g(x))(g(x)) dx = F(g(x)) + C [F(g(x)) (g'(x) dx = f(g(x)) + C

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