# Integral or differential

Calculus Level 4

For a real number $$x > 0$$, let $\large F(x) = \int_{x^2}^{4x^2} \sin\sqrt t\, dt$

For a real number $$t > 0$$, let $$\sqrt t$$ denote the positive square root of $$t$$. If $$F'$$ is the first derivative of $$F$$, find the value of $$F'\left(\dfrac{\pi}{2}\right)$$?

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