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int (dx)/(sqrt(x^(2)-16))=?...

`int (dx)/(sqrt(x^(2)-16))=?`

A

`sin^(-1)((x)/(4))+C`

B

`log|x+sqrt(x^(2)-16)|+C`

C

`log|x-sqrt(x^(2)-16)|+C`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
`I=int (dx)/(sqrt(x^(2)-4^(2)))log|x+sqrt(x^(2)-16)|+C.`
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