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Fungrim entry: 935b2f

∫abez dz=eb−ea\int_{a}^{b} {e}^{z} \, dz = {e}^{b} - {e}^{a}
Assumptions:a∈C  and⁡  b∈Ca \in \mathbb{C} \;\mathbin{\operatorname{and}}\; b \in \mathbb{C}
TeX:
\int_{a}^{b} {e}^{z} \, dz = {e}^{b} - {e}^{a}

a \in \mathbb{C} \;\mathbin{\operatorname{and}}\; b \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Integral∫abf(x) dx\int_{a}^{b} f(x) \, dx Integral
Expez{e}^{z} Exponential function
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("935b2f"),
    Formula(Equal(Integral(Exp(z), For(z, a, b)), Sub(Exp(b), Exp(a)))),
    Variables(a, b),
    Assumptions(And(Element(a, CC), Element(b, CC))))

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2021-03-15 19:12:00.328586 UTC