<p>what is the antiderivative of 1/2x?
the answer is 1/2ln(x)
But if letting U=2x , dU=2dx, then the answer becomes 1/2 ln(2x)
This was quite confusing because the method is definitely correct.</p>
<p>(1/2)(ln(2x))=(1/2)(lnx+ln2)=1/2lnx+ln2/2=1/2lnx+C. Never forget your constant of integration!</p>
<p>1/2ln2 doesn’t equal ln2/2</p>
<p>(1/2)(ln(2))=(ln(2))/2. I left our parenthesis for the sake of readability, but this is what you should read that as.</p>
<p>int (1/2x) dx = (1/2) int (1/x) dx</p>
<p>= (ln x)/2 + C</p>
<p>got that, thank you!</p>