Let a, b be nonzero numbers. Prove that 2πT dt a² cos² (1) + b² sin² (1) by integrating on two homotopic (in C\{0}) curves: [0, 27], and 72 the unit circle. 2π ab' 71 (t) = a cos(t) + i b sin(t), tɛ

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A: Explanation of the answer is as follows

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