# Calculus #1

Calculus Level 3

$\large F(x) = \int^{x^3}_{x^2} \ln t \ dt$

$$F(x)$$ is defined as above for $$x>0$$. If $$F'(2) = a \ln b$$, where $$a$$ and $$b$$ are positive integers with $$b$$ being a prime, find $$a+b$$.

Note: $$F'(x)$$ denotes the first derivative of $$F(x)$$ with respect to $$x$$.

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