Primitive of ${\cos ^{ - 1}}x\,\,{\rm{w}}.{\rm{r}}.{\rm{t}}\;\,\,x\,\;{\rm{is}}$

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

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

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

Primitive of

{\cos ^{ - 1}}x\,\,\mathrm{w}.\mathrm{r}.\mathrm{t}\;\,\,x\,\;\mathrm{is}

View answer and explanation

Correct option: B

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

Option B (

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

) is correct because it is obtained by applying integration by parts to the given inverse trigonometric function.