JEE Advance - Mathematics (1983 - No. 13)

Evaluate : $$\int\limits_0^{\pi /4} {{{\sin x + \cos x} \over {9 + 16\sin 2x}}dx} $$

$$\frac{1}{10} \log 2$$

$$\frac{1}{20} \log 3$$

$$\frac{1}{5} \log 4$$

$$\frac{1}{40} \log 5$$

$$\frac{1}{30} \log 6$$