# Math Help - integration

1. ## integration

-VdV/(kV+g)
where k and g are constants
plz i need answer for this with illustration
and thank you all

2. Originally Posted by mohamedsafy
-VdV/(kV+g)
where k and g are constants
plz i need answer for this with illustration
and thank you all
All you have to do is some minor algebra.

VdV/(kV+g) = $\frac{(1/k) (kV +g)- g/k}{kV+g}$

Seperate the fraction we get.

$\frac{1}{k} +\frac{- g}{k(kV+g)}$

$\int \frac{1}{k} +\frac{- g}{k(kV+g)} dV$
$\int \frac{1}{k}+\frac{- g}{k(kV+g)} dV = \frac{V}{k} - \frac{ g ln(kV +g)}{k^{2}}$