Question: Let (ɸ, I) be a smooth parametrization of some arc and Ï be a C1 function, 1-1 from J onto I, which satisfies Ï'(u) >

Let (ɸ, 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 ψ = ɸ o r, prove that

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

for any continuous F : ɸ(I) †’ Rm

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

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