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Evaluate the integerals. int (x^(2))...

Evaluate the integerals.
`int (x^(2))/(sqrt(1-x))dx, x in (-oo, 1).`

A

`sqrt( 1 + x) - (x)/(3) (1 + x^(2))^(3//2) + c `

B

`x sqrt(1 + x^(2)) + (2)/(3) ( 1 +x^(2))^(3//2) + c`

C

`x sqrt(1 + x^(2)) - (2)/(3) ( 1 +x^(2))^(3//2) + c`

D

`x sqrt(1 + x^(2)) - (1)/(3) ( 1 +x^(2))^(1//2) + c`

Text Solution

Verified by Experts

The correct Answer is:
C
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