Techniques of Integration - Logarithmic Integrals of \(\frac{f'(x)}{f(x)}\)

Techniques of Integration - Logarithmic Integrals of \(\frac{f'(x)}{f(x)}\)

TGM Original Questions

\(\displaystyle\displaystyle \displaystyle\int{\frac{\sin 2x-\cos 2x}{\sin 2x+\cos 2x}}\mathrm{ d}x\)

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Answer:\(-\frac12\ln|\sin2x+\cos2x|+C\)

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