The integral \[\int_{\,-1/2}^{\,1/2}{\,\left\{ [x]+\log \left( \frac{1+x}{1-x} \right) \right\}}\,dx\] equal (where [.] is the greatest integer function) [IIT Screening 2002]

The integral \[\int_{\,-1/2}^{\,1/2}{\,\left\{ [x]+\log \left( \frac{1

1.	The integral \[\int_{\,-1/2}^{\,1/2}{\,\left\{ [x]+\log \left( \frac{1+x}{1-x} \right) \right\}}\,dx\] equal (where [.] is the greatest integer function) [IIT Screening 2002]
A.	\[-\frac{1}{2}\]
B.	0
C.	1
D.	\[2\log \frac{1}{2}\]
Answer» B. 0

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The integral \[\int_{\,-1/2}^{\,1/2}{\,\left\{ [x]+\log \left( \frac{1+x}{1-x} \right) \right\}}\,dx\] equal (where [.] is the greatest integer function) [IIT Screening 2002]

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