\[\int{{{\cos }^{-1}}\left( \frac{1}{x} \right)\,\,dx}\] [RPET 2002]

\[x{{\sec }^{-1}}x-{{\sin }^{-1}}x+C\]

\[x{{\sec }^{-1}}x+{{\cosh }^{-1}}x+C\]

\[x{{\sec }^{-1}}x-{{\cosh }^{-1}}x+C\]

\[\int{{{\cos }^{-1}}\left( \frac{1}{x} \right)\,\,dx}\]

1.	\[\int{{{\cos }^{-1}}\left( \frac{1}{x} \right)\,\,dx}\] [RPET 2002]
A.	\[x{{\sec }^{-1}}x+{{\cosh }^{-1}}x+C\]
B.	\[x{{\sec }^{-1}}x-{{\cosh }^{-1}}x+C\]
C.	\[x{{\sec }^{-1}}x-{{\sin }^{-1}}x+C\]
D.	None of these
Answer» C. \[x{{\sec }^{-1}}x-{{\sin }^{-1}}x+C\]

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\[\int{{{\cos }^{-1}}\left( \frac{1}{x} \right)\,\,dx}\] [RPET 2002]

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