\[\int{\frac{dx}{{{x}^{2}}+4x+13}}\] is equal to [Kerala (Engg.) 2002]

\[\frac{1}{3}{{\tan }^{-1}}\left( \frac{x+2}{3} \right)+c\]

\[\frac{2x+4}{{{({{x}^{2}}+4x+13)}^{2}}}+c\]

\[\int{\frac{dx}{{{x}^{2}}+4x+13}}\] is equal to

1.	\[\int{\frac{dx}{{{x}^{2}}+4x+13}}\] is equal to [Kerala (Engg.) 2002]
A.	\[\log ({{x}^{2}}+4x+13)+c\]
B.	\[\frac{1}{3}{{\tan }^{-1}}\left( \frac{x+2}{3} \right)+c\]
C.	\[\log (2x+4)+c\]
D.	\[\frac{2x+4}{{{({{x}^{2}}+4x+13)}^{2}}}+c\]
Answer» C. \[\log (2x+4)+c\]

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\[\int{\frac{dx}{{{x}^{2}}+4x+13}}\] is equal to [Kerala (Engg.) 2002]

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