\[\int_{{}}^{{}}{\frac{x}{1+{{x}^{4}}}\ dx=}\] [IIT 1978; UPSEAT 2002]

\[\frac{1}{2}{{\cot }^{-1}}{{x}^{2}}+c\]

\[\frac{1}{2}{{\tan }^{-1}}{{x}^{2}}+c\]

\[\int_{{}}^{{}}{\frac{x}{1+{{x}^{4}}}\ dx=}\] [IIT 1978; UPS

1.	\[\int_{{}}^{{}}{\frac{x}{1+{{x}^{4}}}\ dx=}\] [IIT 1978; UPSEAT 2002]
A.	\[\frac{1}{2}{{\cot }^{-1}}{{x}^{2}}+c\]
B.	\[\frac{1}{2}{{\tan }^{-1}}{{x}^{2}}+c\]
C.	\[{{\cot }^{-1}}{{x}^{2}}+c\]
D.	\[{{\tan }^{-1}}{{x}^{2}}+c\]
Answer» C. \[{{\cot }^{-1}}{{x}^{2}}+c\]

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\[\int_{{}}^{{}}{\frac{x}{1+{{x}^{4}}}\ dx=}\] [IIT 1978; UPSEAT 2002]

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