\[\int{{{x}^{3}}\log x\,\,dx=}\] [Karnataka CET 2002]

1.	\[\int{{{x}^{3}}\log x\,\,dx=}\] [Karnataka CET 2002]
A.	\[\frac{{{x}^{4}}\log x}{4}+c\]
B.	\[\frac{1}{16}[4{{x}^{4}}\log x-{{x}^{4}}]+c\]
C.	\[\frac{1}{8}[{{x}^{4}}\log x-4{{x}^{2}}]+c\]
D.	\[\frac{1}{16}[4{{x}^{4}}\log x+{{x}^{4}}]+c\]
Answer» C. \[\frac{1}{8}[{{x}^{4}}\log x-4{{x}^{2}}]+c\]

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\[\int{{{x}^{3}}\log x\,\,dx=}\] [Karnataka CET 2002]

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