\[\int_{{}}^{{}}{(1-{{x}^{2}})\log x\ dx=}\] [DSSE 1982]

\[\left( x-\frac{{{x}^{3}}}{3} \right)\log x+\left( x-\frac{{{x}^{3}}}{9} \right)+c\]

\[\left( x-\frac{{{x}^{3}}}{3} \right)\log x-\left( x-\frac{{{x}^{3}}}{9} \right)+c\]

\[\left( x+\frac{{{x}^{3}}}{3} \right)\log x+\left( x+\frac{{{x}^{3}}}{9} \right)+c\]

\[\int_{{}}^{{}}{(1-{{x}^{2}})\log x\ dx=}\] �

1.	\[\int_{{}}^{{}}{(1-{{x}^{2}})\log x\ dx=}\] [DSSE 1982]
A.	\[\left( x-\frac{{{x}^{3}}}{3} \right)\log x-\left( x-\frac{{{x}^{3}}}{9} \right)+c\]
B.	\[\left( x-\frac{{{x}^{3}}}{3} \right)\log x+\left( x-\frac{{{x}^{3}}}{9} \right)+c\]
C.	\[\left( x+\frac{{{x}^{3}}}{3} \right)\log x+\left( x+\frac{{{x}^{3}}}{9} \right)+c\]
D.	None of these
Answer» B. \[\left( x-\frac{{{x}^{3}}}{3} \right)\log x+\left( x-\frac{{{x}^{3}}}{9} \right)+c\]

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\[\int_{{}}^{{}}{(1-{{x}^{2}})\log x\ dx=}\] [DSSE 1982]

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