If $\displaystyle F(x)=\int\limits_0^x \sqrt{x^3-2}   dt$, then $F'(3) =$

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$$F(x)=\int\limits_0^x \sqrt{x^3-2}   dt$$ $$F'(x)=\sqrt{x^3-2}$$ $$F'(3)=\sqrt{3^3-2}$$ $$F'(2)=\sqrt{25}$$ $$F'(2)=\boxed{5}$$