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 off on I. Then ff(g(x))(g(x)) dx = F(g(x)) + C ® ff(g(x)) (g'(x) dx = F(g(x)) + C B ff(g(x))(g'(x)) dx = F(g(x)) + C [F(g(x))(g'(x) dx = f(g(x)) + C D

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 off on I. Then ff(g(x))(g(x)) dx = F(g(x)) + C ® ff(g(x)) (g'(x) dx = F(g(x)) + C B ff(g(x))(g'(x)) dx = F(g(x)) + C [F(g(x))(g'(x) dx = f(g(x)) + C D

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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