The value of \[\int_{0}^{1}{\frac{{{x}^{4}}+1}{{{x}^{2}}+1}\,dx}\] is [MP PET 1998]

The value of \[\int_{0}^{1}{\frac{{{x}^{4}}+1}{{{x}^{2}}+1}\,dx}\] is�

1.	The value of \[\int_{0}^{1}{\frac{{{x}^{4}}+1}{{{x}^{2}}+1}\,dx}\] is [MP PET 1998]
A.	\[\frac{1}{6}(3\pi -4)\]
B.	\[\frac{1}{6}(3-4\pi )\]
C.	\[\frac{1}{6}(3\pi +4)\]
D.	\[\frac{1}{6}(3+4\pi )\]
Answer» B. \[\frac{1}{6}(3-4\pi )\]

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The value of \[\int_{0}^{1}{\frac{{{x}^{4}}+1}{{{x}^{2}}+1}\,dx}\] is [MP PET 1998]

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