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Evaluate: int cos^-1x dx...

Evaluate: `int cos^-1x dx`

A

`xcos^(-1)x-sqrt(1-x^(2))+C`

B

`xcos^(-1)x+sqrt(1-x^(2))+C`

C

`xsin^(-1)x-sqrt(1-x^(2))+C`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Put `cos^(-1)x=t,"so that "x=cost anddx=-sintdt`.
`:." "I=-intunderset(I)(t)underset(II)(sint)dt`.
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