JEE Advance - Mathematics (1998 - No. 16)

Let $$f\left( x \right) = x - \left[ x \right],$$ for every real number $$x$$, where $$\left[ x \right]$$ is the integral part of $$x$$. Then $$\int_{ - 1}^1 {f\left( x \right)\,dx} $$ is
$$1$$
$$2$$
$$0$$
$$1/2$$

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