Hello Group,

This is not a burning issue, but it has me confused. If I enter

LaplaceTransform[t, t, s, GenerateConditions -> True]

MMA 10.3.1 returns

1/s^2

(with no conditions shown.) If I enter

LaplaceTransform[E^(2 t), t, s, GenerateConditions -> True]

I get back

1/(-2 + s)

also with no conditions. However, if I enter the transform definition versions,

Integrate[t Exp[ -s t], {t, 0, Infinity}]

or

Integrate[Exp[2 t] Exp[ -s t], {t, 0, Infinity}]

it gives ConditionalExpressions showing appropriate conditions, such as

ConditionalExpression[1/(-2 + s), Re[s] > 2]

Why does it do this? In the documentation for LaplaceTransform it shows an expression that does cause generation of a ConditionalExpression, so I'm wondering what makes it show ConditionalExpressions sometimes, but not always.