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Question

$$\displaystyle\int_{0}^{\pi/2} \frac{1}{4+5 \cos x} d x=$$

A

$$\dfrac{1}{2}\log 2$$

B

$$\dfrac{1}{3}\log 2$$

C

$$\dfrac{1}{3}\log 3$$

D

$$\dfrac{1}{5}\log 2$$

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Solution

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Correct option is D. $$\dfrac{1}{3}\log 2$$

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