Posted by Soroban on September 04, 2002 at 18:41:39:
In Reply to: integration help posted by colin on September 04, 2002 at 16:14:33:
: How do I integrate this?
: dx/(a+Sqrt(x))
: Can someone explain the technique please?
: I don't need the actual answer, just help with the approach.
: I can do dx/Sqrt(x) fine (2Sqrt(x)) but this seems to be a beast of another nature...
First of all, T.Gracken's approach is correct -- and very courageous!
I assumed he'd already tried Substitution and didn't try it until just now.
And when I did -- WOW!
Let sqrt(x) = u
Then: x = u^2
And: dx = 2u du
Substitute: INT 2u/(u+a) du
Divide: 2 INT [1 - a/(u+a)] du
There!