# Improper Integrals

1. Oct 8, 2007

### Commodore

I have tried to work this problem, but I keep getting the wrong answer. Please help...

Evaluate the integral from 2 to infinity of 2/(v^2-v). I cannot use a calculator and the answers that I get are nonsensical. PLEASE HELP!!!!

2. Oct 8, 2007

### bob1182006

could you show your work?

i seems like you need to first setup the integral into the limit, and then the do the integral. It seems like a partial fractions. and then do the limits (easiest one first maybe it diverges? xD).

3. Oct 8, 2007

### BenTheMan

$$\int_2^{\infty}\frac{2}{v(v-1)}dv$$

Looks pretty straight forward. Do you know how to do partial fractions?

Write

$$\frac{1}{v(v-1)} = \frac{A}{v}+\frac{B}{v-1}$$

Solve for A and B. Rewrite the integral and you should get log or something. I think.

Last edited: Oct 8, 2007
4. Oct 9, 2007

### Commodore

Thank you very, very much!

5. Oct 11, 2007

### JohannesKepler

Does anyone know who invented the integral calculus?

6. Oct 11, 2007

### JohannesKepler

It was Leibniz, Newton was a fraud!

7. Oct 11, 2007

### cristo

Staff Emeritus
Very useful comments there Kepler.