\[\int_{{}}^{{}}{{{x}^{51}}({{\tan }^{-1}}x+{{\cot }^{-1}}x)\ dx=}\] [MP PET 1991]

\[\frac{{{x}^{52}}}{52}({{\tan }^{-1}}x-{{\cot }^{-1}}x)+c\]

\[\frac{{{x}^{52}}}{52}({{\tan }^{-1}}x+{{\cot }^{-1}}x)+c\]

\[\frac{\pi {{x}^{52}}}{104}+\frac{\pi }{2}+c\]

\[\frac{{{x}^{52}}}{52}+\frac{\pi }{2}+c\]

\[\int_{{}}^{{}}{{{x}^{51}}({{\tan }^{-1}}x+{{\cot }^{-1}}x)\ dx=}\] [

1.	\[\int_{{}}^{{}}{{{x}^{51}}({{\tan }^{-1}}x+{{\cot }^{-1}}x)\ dx=}\] [MP PET 1991]
A.	\[\frac{{{x}^{52}}}{52}({{\tan }^{-1}}x+{{\cot }^{-1}}x)+c\]
B.	\[\frac{{{x}^{52}}}{52}({{\tan }^{-1}}x-{{\cot }^{-1}}x)+c\]
C.	\[\frac{\pi {{x}^{52}}}{104}+\frac{\pi }{2}+c\]
D.	\[\frac{{{x}^{52}}}{52}+\frac{\pi }{2}+c\]
Answer» B. \[\frac{{{x}^{52}}}{52}({{\tan }^{-1}}x-{{\cot }^{-1}}x)+c\]

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\[\int_{{}}^{{}}{{{x}^{51}}({{\tan }^{-1}}x+{{\cot }^{-1}}x)\ dx=}\] [MP PET 1991]

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