JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int {\frac{{dx}}{{\sqrt {2x - {x^2}} }}}

is equal to

View answer and explanation

Correct option: C

{\sin ^{ - 1}}\left( {x - 1} \right) + c

Option C (

{\sin ^{ - 1}}\left( {x - 1} \right) + c

) is correct because the integral simplifies to the arcsine function after completing the square.

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