$\int_{\frac{\pi}{4}}^{\frac{\pi}{4}} \log_e(\sin x + \cos x) \, dx$ is equal to
- A$-\frac{\pi}{4} \ln 2$
- B$\frac{\pi}{4} \ln 2$
- C$\frac{\pi}{8} \ln 2$
- D$0$
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MediumWBJEE 2012
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