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Home  >>  CBSE XII  >>  Math  >>  Integrals

$\Large\int \frac {dx}{\sin x+\sqrt 3 \cos x} =$ \begin{array}{1 1}(a)\;\frac{1}{2} log \tan \bigg [\frac{\pi}{2}+\frac{\pi}{6}\bigg] & \quad (b)\;\frac{1}{2} log \bigg\{cosec \bigg(x+\frac{\pi}{3}\bigg)-\cot \bigg(x+\frac{\pi}{3}\bigg)\bigg\} & \\ (c)\;\frac{1}{2} log \bigg\{\sec \bigg(x-\frac{\pi}{6}\bigg)+\tan \bigg(x-\frac{\pi}{6}\bigg)\bigg\} & \quad (d)\;-\frac{1}{2} log \bigg\{cosec \bigg(x+\frac{\pi}{3}\bigg)+\cot \bigg(x+\frac{\pi}{3}\bigg)\bigg\}\end{array}

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