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If 

Mathinline
bodyF(x)=\int f(x)dx
, 
Mathinline
body\sideset{}{_{b}^{a}}\int f(x)dx=F(x)\sideset{}{_{a}^{b}}\left.\right|rvert=F(b)-F(a)=Pr(a<X\leq b)

Rules of Differentiation

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