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Integral of 1 / (sin ax cos ax)

Logarithmic and exponential functions core

Evaluate \( \int \frac{dx}{\sin ax \cos ax} \).
calculus-iintegrationindefinite-integraltrigonometric-integralsubstitutionnatural-logarithmtangentsecantevaluate-integralalgebraic-manipulationu-substitutionlogarithmic-integration

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What this problem tests

Tests the ability to recognize algebraic manipulations that simplify trigonometric integrals and the application of u-substitution.

This problem is a classic example of evaluating trigonometric integrals by converting them into a form suitable for u-substitution.

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