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Evaluate int x sin^(-1)x dx " on " (-1,...

Evaluate ` int x sin^(-1)x dx " on " (-1,1) .

A

`(1)/(2)[(x^(2)+(1)/(2)) Sin^(-1)x+(x)/(2)sqrt(1+x^(2))+c]`

B

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

C

`(1)/(2)[(x^(2)-(1)/(2)) Sin^(-1)x+(x)/(2)sqrt(1-x^(2))+c]`

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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