Is reduction formula the only way?

Calculus Level 4

If the integral \[\displaystyle{I=\int _{ 0 }^{ \pi }{ \frac { 1-\cos { 74x } }{ 1-\cos { x } } } \ dx}\] can be adjusted in the form of \(\frac { a{ \pi }^{ b } }{ 6 } \) , find the value of \(a+b\).

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