# Question 8.T.12: (Fundamental Theorem of Calculus) If F is differentiable on ...

(Fundamental Theorem of Calculus)

If F is differentiable on [a, b] and $F^{\prime} ∈ \mathcal{R}(a, b) ,$ then

$\int_{a}^{b}{F^{\prime} (x) dx} = F (b) − F (a) .$        (8.17)

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