Integration Techniques Q1

Integration Techniques Q1

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Find \(\displaystyle\displaystyle \displaystyle\int{\frac{1}{1-\sin x+\cos x}\mathrm{d}x}\) using the substitution \(t=\tan \frac{x}{2}\).

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Answer:\(-\ln\left|1-\tan\dfrac{x}{2}\right|+C\)

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