The value of the integral \int^{\pi/3}_{\pi/6} \frac{(sinx-xcosx)}{x(x+sinx)} dx is equal to

Correct Answer is : loge (2(π+3)2π+3√3)

\log_e (\frac{2(\pi+3)}{2\pi+3\sqrt3})

\log_e (\frac{\pi+3}{2(2\pi+3\sqrt3)})

\log_e (\frac{2\pi+3\sqrt3}{2(\pi+3)})

\log_e (\frac{2(2\pi+3\sqrt3)}{\pi+3})

WBJEE 2013 Math Solved Paper

Question : 67 of 80

Marks: +1, -0

The value of the integral

∫

(sinx−xcosx)

x(x+sinx)

dx is equal to

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