Integrating a Rational Function using Partial Differentiation

[andrey21]

I am in the middle of finding a general solution for an equation . However I am stuck here:

c^2 ∫ dv/ (v^2 -c^2) = ∫ g dt

I know Partial diiferentiation would be the best approach however I cannot really get started. Help appreciated

Homework Equations

The Attempt at a Solution

 

[tiny-tim]

Hi Jamiey1988!

(try using the X² tag just above the Reply box )

Are you trying to integrate ∫ dv/(v² - c²) ?

Either use partial fractions, or use a trig substitution.