1.

If \[\int{\frac{1}{x+{{x}^{5}}}dx=f(x)+c}\], then the value of \[\int{\frac{{{x}^{4}}}{x+{{x}^{5}}}dx}\] is [DCE 2005]

A.                 \[\log x-f(x)+c\]
B.                 \[f(x)+\log x+c\]
C.                 \[f(x)-\log x+c\]
D.                 None of these
Answer» B.                 \[f(x)+\log x+c\]


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