The value of \[\int_{{}}^{{}}{\frac{{{x}^{3}}}{\sqrt{1+{{x}^{4}}}}\ dx}\] is [SCRA 1996]

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

\[{{(1+{{x}^{4}})}^{\frac{1}{2}}}+c\]

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

\[\frac{1}{2}{{(1+{{x}^{4}})}^{\frac{1}{2}}}+c\]

The value of \[\int_{{}}^{{}}{\frac{{{x}^{3}}}{\sqrt{1+{{x}^{4}}}}\ dx

1.	The value of \[\int_{{}}^{{}}{\frac{{{x}^{3}}}{\sqrt{1+{{x}^{4}}}}\ dx}\] is [SCRA 1996]
A.	\[{{(1+{{x}^{4}})}^{\frac{1}{2}}}+c\]
B.	\[-{{(1+{{x}^{4}})}^{\frac{1}{2}}}+c\]
C.	\[\frac{1}{2}{{(1+{{x}^{4}})}^{\frac{1}{2}}}+c\]
D.	\[-\frac{1}{2}{{(1+{{x}^{4}})}^{\frac{1}{2}}}+c\]
Answer» D. \[-\frac{1}{2}{{(1+{{x}^{4}})}^{\frac{1}{2}}}+c\]

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The value of \[\int_{{}}^{{}}{\frac{{{x}^{3}}}{\sqrt{1+{{x}^{4}}}}\ dx}\] is [SCRA 1996]

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