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Differentiate
Exponential
Derivatives of Exponential
and Log Functions
Differentiation of
Exponential Function
Exponential
Derivative
Differentiate Exponential
Function
Differentiating Exponentials
and Logarithms
Differentiating
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smooth integrals
how to integrate (e^(4x)-16)/(e^x-2)
integral of (e^(4x) - 16)/(e^x - 2) dx how to integrate (e^(4x)-16)/(e^x-2) recognize difference of squares: e^(4x) - 16 = (e^(2x))^2 - 4^2 = (e^(2x)-4)(e^(2x)+4) further factor e^(2x)-4 = (e^x-2)(e^x+2) so numerator = (e^x-2)(e^x+2)(e^(2x)+4) denominator = e^x-2 cancel (e^x-2) assuming e^x≠2 integrand = (e^x+2)(e^(2x)+4) = e^x e^(2x) + 4e^x ...
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