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Fungrim entry: c93b81

absin(z)dz=cos(a)cos(b)\int_{a}^{b} \sin(z) \, dz = \cos(a) - \cos(b)
Assumptions:aCandbCa \in \mathbb{C} \,\mathbin{\operatorname{and}}\, b \in \mathbb{C}
\int_{a}^{b} \sin(z) \, dz = \cos(a) - \cos(b)

a \in \mathbb{C} \,\mathbin{\operatorname{and}}\, b \in \mathbb{C}
Fungrim symbol Notation Short description
Integralabf(x)dx\int_{a}^{b} f(x) \, dx Integral
Sinsin(z)\sin(z) Sine
CCC\mathbb{C} Complex numbers
Source code for this entry:
    Formula(Equal(Integral(Sin(z), For(z, a, b)), Sub(Cos(a), Cos(b)))),
    Variables(a, b),
    Assumptions(And(Element(a, CC), Element(b, CC))))

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2019-10-05 13:11:19.856591 UTC