Crazy Cosine Calculus!

Calculus Level 4

Let \(I_m = \displaystyle \int_0^{2\pi} \cos(x) \cos(2x) \dots \cos(mx) dx\). What is the sum of all integers \(100 \leq m \leq 110\) such that \(I_m \neq 0\)?

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Michael Tong by Michael Tong
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