1. Dec 1, 2007

### idiotblue

integrate this

$$\int$$$$\frac{1}{U\sqrt{1-U^2}}dU$$

2. Dec 1, 2007

### rock.freak667

..Try using integration by parts and see if you can solve

u=$\frac{1}{U}$ find du/dx
$\frac{dv}{dx}=\frac{1}{\sqrt{1-U^2}}$ so get v=

and

$$\int u\frac{dv}{dx}dx=uv-\int v\frac{du}{dx}dx$$

3. Dec 1, 2007

### Dick

It can be done straightforwardly with a trig substitution, like u=sin(t).

4. Dec 1, 2007

### idiotblue

Sorry but...

the original question wasintegration from $$\epsilon$$to$$\pi-\epsilon$$
$$\int$$$$\frac{1}{sinx}dx$$

I tried to integrate it straight but i don't know how calculate cosec and cot...

Last edited: Dec 1, 2007
5. Dec 2, 2007

### Avodyne

Try the substitution u = tan(x/2).

6. Dec 2, 2007

### idiotblue

:)thanks guys. I got it~

7. Dec 13, 2007

### cummins

What is the term for the slope on an x axis that runs parallel but never actually touches the x axis?

8. Dec 13, 2007

### Dick

Get your own thread. But until you do 'horizontal asymptote with y value 0'.