$\smallint {\sin ^{ - 1}}\,\,x\,\,dx$ is equal to

$\frac{1}{{\sqrt {1 - {x^2}} }}\,\, + \,\,c$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int {\sin ^{ - 1}}\,\,x\,\,dx

is equal to

View answer and explanation

Correct option: B

x\,\,{\sin ^{ - 1}}\,\,x + \,\,\sqrt {1 - {x^2}} \,\, + \,\,c

Option B (

x\,\,{\sin ^{ - 1}}\,x + \,\sqrt {1 - {x^2}} \,\, + \,\,c

) is correct because it is the result of integrating arcsin(x) by parts.

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