Indefinite Integration Calculus

[stoofertje]

1. So I need to solve the following integral


∫1/(2+√x)

The Attempt at a Solution

By double integrating with u-substitution, I got to the following answer: 4+2√x-4ln(2+√x) + C

I can't find out where I go wrong, cause the answer is 2√x-4ln(2+√x), it has been a while, so maybe the +4 just adds to the constant?


Thanks in advance guys,

 

[Mark44]

1. So I need to solve the following integral


∫1/(2+√x)

The Attempt at a Solution

By double integrating with u-substitution, I got to the following answer: 4+2√x-4ln(2+√x) + C

I can't find out where I go wrong, cause the answer is 2√x-4ln(2+√x), it has been a while, so maybe the +4 just adds to the constant?

Yes, your answer and the official one you showed differ only by a constant, so both are correct.