What an integral

Calculus Level pending

\[\int { \frac { dx }{ { cos }^{ 3 }x } } =\frac { \gamma }{ \psi } \left( \frac { sinx }{ { cos }^{ 2 }x } +ln\left( \frac { \alpha +sinx }{ cosx } \right) \right)\]

Where \(\gamma +\psi\) are co-prime find

\[\gamma +\psi +\alpha-1 ?\]

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