Solve Improper Integral: 2/(v^2-v) Without Calculator

[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!

 

[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).

 

[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.

 

[Commodore]

Thank you very, very much!

 

[JohannesKepler]

Does anyone know who invented the integral calculus?

 

[JohannesKepler]

It was Leibniz, Newton was a fraud!

 

[cristo]

Very useful comments there Kepler.