Fundamental Theorem of Calculus: Accumulation Functions Practice Test

Let $$F(x) = \int_0^x \frac{t^2 - 3}{t^2 + 1} , dt$$. For what positive value of $$x$$ does $$F(x)$$ have a local minimum?

Let $$F(x) = \int_0^x (t-1)^2 (t-5) , dt$$. At what value of $$x$$ does $$F$$ have a local minimum?