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What is int (dx)/(sqrt(4 + x^(2))) equal...

What is `int (dx)/(sqrt(4 + x^(2)))` equal to ?

A

`l n |sqrt(4 + x^(2)) + x| + c`

B

`l n |sqrt(4 + x^(2)) -x| + c`

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
`int (dx)/(sqrt(4 + x^(2))) = int (dx)/(sqrt(2^(2) + x^(2))) = ln |sqrt(4 + x^(2)) + x| + C`
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