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Evaluate the following integrals: intc...

Evaluate the following integrals:
`intcos^(-1)sqrt(x)dx`

A

`xcos^(-1)sqrt(x)-(1)/(2)sqrt(x-x^2)+(1)/(2)sin^(-1)sqrt(x)+c`

B

`xcos^(-1)sqrt(x)+(1)/(2)sqrt(x-x^2)-(1)/(2)sin^(-1)sqrt(x)+c`

C

`xcos^(-1)sqrt(x)-(1)/(2)sqrt(x-x^2)-(1)/(2)sin^(-1)sqrt(x)+c`

D

`xcos^(-1)sqrt(x)+(1)/(2)sqrt(x-x^2)+(1)/(2)sin^(-1)sqrt(x)+c`

Text Solution

Verified by Experts

The correct Answer is:
A
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