Is it okay to for the integrand and bounds of integration to be functions of the same variable?

For the sake of simplicity, say we given that $a = 6t$ and that we must find the velocity as a function of time. We would set up the following integral:

$$displaystyle int_{v(t_0)}^{v(t)}dv = int_{t_0}^t 6t,dt$$

Having $t$ in the bounds of integration and also in the integrand seems weird to me. Is this the best way to notate it?