$\displaystyle F(x)=\int_{x^4}^{x^3} (2t-1)^3\ dt $

how do I go about doing this given that there are two functions as the upper and lower limit (as opposed to one of them being a function and the other being a constant)

would I let one of them =u and the other =v and then try to work from there? If so how would the derivatives and anti-derivatives work?