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 F is an antiderivative of f on I. Then A ff(g(x))(g'(x)) dx = F(g(x)) + C B [F(g(x))(g(x)) dx = f(g(x)) + C Ⓒ[f(g(x))(g(x)) dx = F(g(x)) + C Off(g(x))(g(x)) dx = F(g(x)) + C D

College Algebra (MindTap Course List)
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Author:R. David Gustafson, Jeff Hughes
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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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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 F is an
antiderivative of f on I. Then
A ff(g(x)) (g'(x) dx = F(g(x)) + C
℗
[F(g(x))(g'(x) dx = f(g(x)) + C
©[f(g(x))(g(x))dx= F(g(x)) + C
Off(g(x))(g'(x)) dx = F(g(x)) + C
Transcribed Image Text: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 F is an antiderivative of f on I. Then A ff(g(x)) (g'(x) dx = F(g(x)) + C ℗ [F(g(x))(g'(x) dx = f(g(x)) + C ©[f(g(x))(g(x))dx= F(g(x)) + C Off(g(x))(g'(x)) dx = F(g(x)) + C
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