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JEE Math Practice Question

The integral $$\int\limits_0^{\pi / 4} \frac{136 \sin x}{3 \sin x+5 \cos x} \mathrm{~d} x$$ is equal to :

  1. A.$$3 \pi-50 \log _e 2+20 \log _e 5$$
  2. B.$$3 \pi-25 \log _e 2+10 \log _e 5$$
  3. C.$$3 \pi-10 \log _{\mathrm{e}}(2 \sqrt{2})+10 \log _{\mathrm{e}} 5$$
  4. D.$$3 \pi-30 \log _e 2+20 \log _e 5$$

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