\[\int{\frac{x\,\,dx}{{{x}^{2}}+4x+5}=}\] [RPET 2002]

\[\frac{1}{2}\log ({{x}^{2}}+4x+5)+2{{\tan }^{-1}}(x)+c\]

\[\frac{1}{2}\log ({{x}^{2}}+4x+5)-{{\tan }^{-1}}(x+2)+c\]

\[\frac{1}{2}\log ({{x}^{2}}+4x+5)+{{\tan }^{-1}}(x+2)+c\]

\[\frac{1}{2}\log ({{x}^{2}}+4x+5)-2{{\tan }^{-1}}(x+2)+c\]

\[\int{\frac{x\,\,dx}{{{x}^{2}}+4x+5}=}\]

1.	\[\int{\frac{x\,\,dx}{{{x}^{2}}+4x+5}=}\] [RPET 2002]
A.	\[\frac{1}{2}\log ({{x}^{2}}+4x+5)+2{{\tan }^{-1}}(x)+c\]
B.	\[\frac{1}{2}\log ({{x}^{2}}+4x+5)-{{\tan }^{-1}}(x+2)+c\]
C.	\[\frac{1}{2}\log ({{x}^{2}}+4x+5)+{{\tan }^{-1}}(x+2)+c\]
D.	\[\frac{1}{2}\log ({{x}^{2}}+4x+5)-2{{\tan }^{-1}}(x+2)+c\]
Answer» E.

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\[\int{\frac{x\,\,dx}{{{x}^{2}}+4x+5}=}\] [RPET 2002]

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