Prove the Substitution Rule [where g is a differentiable scalar function with an inverse]: So a r(g(t))g'

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Prove the Substitution Rule [where g is a differentiable scalar function with an inverse]:

So a r(g(t))g' (t)dt = (g-(b) g-(a) r(u) du

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 04, 2024 01:31 PM

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Prove the Substitution Rule [where g is a differentiable scalar function with an inverse]: So a r(g(t))g'

Question:

So a r(g(t))g' (t)dt = (g-(b) g-(a) r(u) du

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Note that an early edition of the textbook had the integ...View the full answer

Calculus

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