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Useful Equations

Rules of Integration

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Chain Rule for Integration

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body\int adx=ax+C

If 

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

Rules of Differentiation

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body\frac{d(a)}{dx}=0

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body\frac{d(x^{n})}{dx}=nx^{n-1}

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body\frac{d(e^{x})}{dx}=e^{x}
Mathinlinebody\frac{d(e^{ax})}{dx}=ae^{ax} 

 

Rules of Differentiation

Chain Rule for Differentiation

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