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Problem 1 (10pt). Fix an integer m E N. Let f : Rm - R be a continuous function and w = f(x) dx1 A

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Problem 1 (10pt). Fix an integer m E N. Let f : Rm - R be a continuous function and w = f(x) dx1 A dx2 A . . . Adam be an m-form in Rm. Define the map A : Qm -> Rm by A(u) = u for all u e Qm. Show that w f(x) dx. A Om

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