\[\int_{{}}^{{}}{x{{\sin }^{-1}}x\ dx}=\] [MP PET 1991]

1.	\[\int_{{}}^{{}}{x{{\sin }^{-1}}x\ dx}=\] [MP PET 1991]
A.	\[\left( \frac{{{x}^{2}}}{2}-\frac{1}{4} \right){{\sin }^{-1}}x+\frac{x}{4}\sqrt{1-{{x}^{2}}}+c\]
B.	\[\left( \frac{{{x}^{2}}}{2}+\frac{1}{4} \right){{\sin }^{-1}}x+\frac{x}{4}\sqrt{1-{{x}^{2}}}+c\]
C.	\[\left( \frac{{{x}^{2}}}{2}-\frac{1}{4} \right){{\sin }^{-1}}x-\frac{x}{4}\sqrt{1-{{x}^{2}}}+c\]
D.	\[\left( \frac{{{x}^{2}}}{2}+\frac{1}{4} \right){{\sin }^{-1}}x-\frac{x}{4}\sqrt{1-{{x}^{2}}}+c\]
Answer» B. \[\left( \frac{{{x}^{2}}}{2}+\frac{1}{4} \right){{\sin }^{-1}}x+\frac{x}{4}\sqrt{1-{{x}^{2}}}+c\]

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\[\int_{{}}^{{}}{x{{\sin }^{-1}}x\ dx}=\] [MP PET 1991]

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