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int (x tan^(-1)x)/(sqrt(1 + x^(2))) d x...

`int (x tan^(-1)x)/(sqrt(1 + x^(2))) ` d x=

A

`sqrt(1 +x^(2)) tan^(-1) " x- log "(x + sqrt(1 + x^(2))) + c`

B

`sqrt(1 +x^(2)) tan^(-1) " x + log "(x + sqrt(1 + x^(2))) + c`

C

` (tan^(-1)x)/(sqrt(1 +x^(2))) " + log "(x + sqrt(1 + x^(2))) + c`

D

` (tan^(-1)x)/(sqrt(1 +x^(2))) "- log "(x + sqrt(1 + x^(2))) + c`

Text Solution

Verified by Experts

The correct Answer is:
A
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