Single Option Correct Type Questions \( \mathrm{P} \) W. If \( I_{n...

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Single Option Correct Type Questions
\( \mathrm{P} \)
W.
If \( I_{n}=\int_{-n}^{n}\left(\{x+1\}\left\{x^{2}+2\right\}+\left\{x^{2}+3\right\}\left\{x^{3}+4\right\}\right) d x \), (where,
\( \left\{\right. \) denotes the fractional part), then \( I_{1} \) is equal to
(a) \( -\frac{1}{3} \)
(b) \( -\frac{2}{3} \)
(c) \( \frac{1}{3} \)
(d) None of these
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