\(\int\limits_0^{\frac{\pi }{4}} {\frac{{\sin x + \cos x}}{{9 + 16\sin 2x}}} \,dx = \)

1
\(\frac{1}{{20}}\log 3\)
2
log 3
3
\(\frac{1}{{20}}\log 5\)
4
None of these 

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