$\smallint \,\,{\cos ^{ - 1}}\,\,\left( {\frac{1}{x}} \right)\,\,dx$ equals

$x\,\,{\sec ^{ - 1}}\,\,x\,\, - \,\,{\sin ^{ - 1}}\,\,x\,\, + \,\,c$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

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

equals

View answer and explanation

Correct option: B

x\,\,{\sec ^{ - 1}}\,\,x\,\, - \,\,{\cosh ^{ - 1}}\,\,\,x\,\, + \,\,c

Option B (

x\,{\sec ^{ - 1}}\,x\, - \,{\cosh ^{ - 1}}\,x\, + \,c

) is correct because it is the result of integration by parts and simplification using inverse hyperbolic functions.