Let ( Eacute cedil , I) be a smooth parametrization of some arc and Iuml be a C1 function, 1 1 from J onto I, which satisfies Iuml '(u) 0 for all but finitely many u J If Iuml Eacute cedil o r, prove that for any continuous F Eacute cedil (I) Rm F(4(1)) '(1) dr F(()) '(u) du...

The easy way is to apply Theorem 1265 directly If you want a proof which avoids this ...

Let (É¸, I) be a smooth parametrization of some arc and Ï be a C1 function, 1-1

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Let (É¸, I) be a smooth parametrization of some arc and Ï„ be a C1 function, 1-1 from J onto I, which satisfies Ï„'(u) > 0 for all but finitely many u ˆˆ J. If Ïˆ = É¸ o r, prove that

for any continuous F : É¸(I) †’ Rm

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An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

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Let (É¸, I) be a smooth parametrization of some arc and Ï be a C1 function, 1-1

Question:

F(4(1)) - '(1) dr = | F(()) '(u) du

Step by Step Answer:

The easy way is to apply Theorem 1265 directly If you want a proof which avoids this ...View the full answer

An Introduction to Analysis

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