1.

The value of \(\int^{\pi / 3}_{-\pi / 3} \frac {x \sin x}{\cos^2 x}\ dx\) is

A. \(\frac 1 3 (4\pi + 1)\)
B. \(\frac {4\pi} 3 -2 \log \tan \frac {5\pi}{12}\)
C. \(\frac {4\pi} 3 +\log \tan \frac {5\pi}{12}\)
D. \(\frac {4\pi} 3 -\log \tan \frac {5\pi}{3}\)
Answer» C. \(\frac {4\pi} 3 +\log \tan \frac {5\pi}{12}\)


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