A) \[{{x}^{n-1}}\,\,(1+n\,\,\log \,\,x)+{{(\log \,\,x)}^{n-1}}[n+\log \,\,x]\]
B) \[{{x}^{n-2}}\,\,(1+n\,\,\log \,\,x)+{{(\log \,\,x)}^{n-1}}[n+\log \,\,x]\]
C) \[{{x}^{n-1}}\,\,(1+n\,\,\log \,\,x)+{{(\log \,\,x)}^{n-1}}[n-\log \,\,x]\]
D) \[{{x}^{n-2}}(1-n\,\,\log \,\,x)+{{(\log \,\,x)}^{n-1}}[n-\log \,\,x]\]
E) None of these
Correct Answer: A
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