5. Let (¢, I) be a smooth parametrization of some arc and T be a C1 function, 1-1 from J onto I, that satisfies T'(U) > 0 for all but finitely many u E J.

If 'if; = ¢ 0 T, prove that 1 F(¢(t)) . ¢'(t) dt = 1 F('if;(u)) . 'if;'(u) du for any continuous F : ¢(I) --+ Rm.