Just Integrate

Calculus Level 5

Let \[f(x) = \displaystyle\int \dfrac{\sec(x) \, dx}{2\cos(2x)-1} \]

Given that \(f(0) = 1\), find the value of \(f\left( \dfrac{ \pi }{12} \right)\).

Give your answer to 3 decimal places.

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