JEE Advance - Mathematics (2002 - No. 7)
The integral $$\int\limits_{ - 1/2}^{1/2} {\left( {\left[ x \right] + \ell n\left( {{{1 + x} \over {1 - x}}} \right)} \right)dx} $$ equal to
$$ - {1 \over 2}$$
$$0$$
$$1$$
$$2\ell n\left( {{1 \over 2}} \right)$$