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int(sqrt((a+x)/(a-x))+sqrt((a-x)/(a+x)))...

`int(sqrt((a+x)/(a-x))+sqrt((a-x)/(a+x)))dx " is equal to "`

A

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

B

`2asin^(-1)(x//a)+c`

C

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

D

`2acos^(-1)(x//a)+c`

Text Solution

Verified by Experts

The correct Answer is:
B
`int(sqrt((a+x)/(a-x))+sqrt((a-x)/(a+x)))dx=int(2a)/(sqrt(a^(2)-x^(2)))dx`
`=2asin^(-1)((x)/(a))+c`
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