Question

Integrate 1/(x(4-x^2)^(1/2)). I figured this was a case of trig substitution, but I couldn't get anywhere with it. I'm not sure where to go from here.

Answer 1

The first thing that jumps out at me is the `(4-x^2)^(1/2)` which is really \(\Large \sqrt{4-x^2}\)

Let's draw a right triangle with \(\Large \sqrt{4-x^2}\) as one of the legs

Answer 2

are you able to determine the other missing sides?

Answer 3

2 and -x, right?

Answer 4

2 is the hypotenuse, x is the other leg