I have an equation like this
$dW=x\,dx$ , where W is work.
I have find a lot on internet, but I wasn't able to find clear information. I have two questions:
1) If I want to integrate this equation, do im forced to apply definite integral or indefinite integral at the same time to each member of the equation ?
2)The right part of the integral is quite clear to me, for example I can integrate between $x=0$ and $x=5$. But in the left part, what's the meaning to integrate between (for example) $W=4$ and $W=8$ ?