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Commonmark migration
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Community Bot
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Maple 2015 produces a simple answer by

with(Statistics): X := RandomVariable(Normal(0, sigma)):

 

Mean(c+exp(X))^(-n) assuming c>0, n::posint;

$$ \left( c+{{\rm e}^{1/2\,{\sigma}^{2}}} \right) ^{-n} $$

Maple 2015 produces a simple answer by

with(Statistics): X := RandomVariable(Normal(0, sigma)):

 

Mean(c+exp(X))^(-n) assuming c>0, n::posint;

$$ \left( c+{{\rm e}^{1/2\,{\sigma}^{2}}} \right) ^{-n} $$

Maple 2015 produces a simple answer by

with(Statistics): X := RandomVariable(Normal(0, sigma)):

Mean(c+exp(X))^(-n) assuming c>0, n::posint;

$$ \left( c+{{\rm e}^{1/2\,{\sigma}^{2}}} \right) ^{-n} $$

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user64494
user64494
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Maple 2015 produces a simple answer by

with(Statistics): X := RandomVariable(Normal(0, sigma)):

Mean(c+exp(X))^(-n) assuming c>0, n::posint;

$$ \left( c+{{\rm e}^{1/2\,{\sigma}^{2}}} \right) ^{-n} $$