Improper Integrals

1. Oct 8, 2007

Commodore

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

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