JEE Advance - Mathematics (1995 - No. 5)

Let $${I_m} = \int\limits_0^\pi {{{1 - \cos mx} \over {1 - \cos x}}} dx.$$ Use mathematical induction to prove that $${I_m} = m\,\pi ,m = 0,1,2,........$$
This question requires a proof, not a multiple-choice answer.
The question is incomplete; it lacks a specific question about the proof.
The question is already an answer in itself; there are no options needed.
This type of question is not suitable for a multiple-choice format.
Insufficient information is provided to generate suitable options and an answer.

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