Can anyone help me solve this?
Integral of √(4+x^2) / x^5 dx? Thanks.
This one's tricky. It requires both a trigonometric substitution and a substitution.
First, use the substitution , which means .
Putting this into the integral...
.
Now we can use a substitution.
Let so that .
So the integral becomes
Now, since , we have
.
Also remember that , so .
Thus .
So finally, the answer to the original integral is...
.