A Moving Upper Limit

Define the accumulation function

$F(x) = \int_{2}^{3x} \left(t^2 - 4t + 5\right) dt$

so that $F(x)$ is the signed area collected under the curve $y = t^2 - 4t + 5$ starting from the fixed left end $t = 2$ and running up to the moving right end $t = 3x$.

Both halves of the Fundamental Theorem are needed here: one to differentiate an accumulation function, the other to actually evaluate a definite integral.

Compute $F'(2) - F(1)$. Round your answer to 2 decimal places.