I have the integral of 1/sqrt(c^2-(dv)^2) (without the dv after it), and need to get it into the form of the integral of [an expression in v] dv. (c is a constant larger than the upper bound of the integral.) How do I do that? Thanks.
I have the integral of 1/sqrt(c^2-(dv)^2) (without the dv after it), and need to get it into the form of the integral of [an expression in v] dv. (c is a constant larger than the upper bound of the integral.) How do I do that? Thanks.
I was attempting to try, from first principles, to get a total of a quantity which increased along with the incremental changes in v in the Lorentz transformation. I know that the problem can be done another way, simpler, but I wanted to see what this appeal to first principles could be managed.