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int(sqrt((2+x)/(2-x)))dx=...

`int(sqrt((2+x)/(2-x)))dx=`

A

`2sin^(-1)(x/2) + sqrt(4-x^(2)) +c `

B

`cos^(-1)(x/2)-sqrt(4-x^(2))+c`

C

`sin^(-1)(x/2) - sqrt(4-x^(2))+c`

D

`2sin^(-1)(x/2) - sqrt(4-x^(2))+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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