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JEE Math Practice Question

If the value of the integral $$\int\limits_{-1}^1 \frac{\cos \alpha x}{1+3^x} d x$$ is $$\frac{2}{\pi}$$.Then, a value of $$\alpha$$ is

  1. A.$$\frac{\pi}{2}$$
  2. B.$$\frac{\pi}{4}$$
  3. C.$$\frac{\pi}{3}$$
  4. D.$$\frac{\pi}{6}$$

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