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  4. The value of ∫ limits0π / 6 ( cos x- sin x/1+ sin 2 x) d x is

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Q. The value of $\int\limits_0^{\pi / 6} \frac{\cos x-\sin x}{1+\sin 2 x} d x$ is

Integrals

Solution:

Put $\sin x+\cos x=t$ and proceed.