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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
1 of 1
Application +4 | -1
∫  dxcos⁡  x  +  3  sin⁡  x\int \,\,\frac{{dx}}{{\cos \,\,x\,\, + \,\,\sqrt 3 \,\,\sin \,\,x}} equals
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Correct option: A
12  log⁡  tan⁡  (x2  +  π12)+c\frac{1}{2}\,\,\log \,\,\tan \,\,\left( {\frac{x}{2}\,\, + \,\,\frac{\pi }{{12}}} \right) + c
Option A is correct because the integral of the given function simplifies to a logarithmic tangent function with the correct phase shift.

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