A) \[{{(1+x)}^{-1}}+c\]
B) \[{{(1-x)}^{-1}}+c\]
C) \[{{(1-x)}^{-1}}-1+c\]
D) None of these
Correct Answer: B
Solution :
\[\int_{{}}^{{}}{(1+2x+3{{x}^{2}}+4{{x}^{3}}+......)\,dx}\] \[=\int_{{}}^{{}}{{{(1-x)}^{-2}}dx={{(1-x)}^{-1}}+c.}\]
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