Understanding Integrals: Solving for dt in \frac{dr}{\sqrt{2\frac{GM}{r}+ 2C}

[PMP]

What is the integral of:

dt= \frac{dr}{\sqrt{2\frac{GM}{r}+ 2C}}​

where C is a constant?

I need to integrate this, but I don't know integrals so much. Thanks

 

[StatusX]

For simplicity, reduce your questions to general ones with as few constants as possible. (you can plug in whatever the specific constants are later). Are you asking how to compute:

\int \frac{dx}{\sqrt{1+a/x}}?

If so, try the substitution u=\sqrt{1+a/x}[/tex].

 

[PMP]

Yes, I am asking that integral. Thank you!