The value of \[\int_{-1}^{1}{\frac{\sin x-{{x}^{2}}}{3-|x|}\,dx}\] is [Roorkee 1995]

\[2\int_{0}^{1}{\frac{\sin x-{{x}^{2}}}{3-|x|}\,dx}\]

\[2\int_{0}^{1}{\frac{\sin x}{3-|x|}\,dx}\]

\[2\int_{0}^{1}{\frac{-{{x}^{2}}}{3-|x|}}\,dx\]

The value of \[\int_{-1}^{1}{\frac{\sin x-{{x}^{2}}}{3-|x|}\,dx}\] is�

1.	The value of \[\int_{-1}^{1}{\frac{\sin x-{{x}^{2}}}{3-\|x\|}\,dx}\] is [Roorkee 1995]
A.	0
B.	\[2\int_{0}^{1}{\frac{\sin x}{3-\|x\|}\,dx}\]
C.	\[2\int_{0}^{1}{\frac{-{{x}^{2}}}{3-\|x\|}}\,dx\]
D.	\[2\int_{0}^{1}{\frac{\sin x-{{x}^{2}}}{3-\|x\|}\,dx}\]
Answer» D. \[2\int_{0}^{1}{\frac{\sin x-{{x}^{2}}}{3-\|x\|}\,dx}\]

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The value of \[\int_{-1}^{1}{\frac{\sin x-{{x}^{2}}}{3-|x|}\,dx}\] is [Roorkee 1995]

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