Integraal van $$$\sinh{\left(x \right)}$$$

De calculator zal de integraal/primitieve functie van $$$\sinh{\left(x \right)}$$$ bepalen, waarbij de stappen worden weergegeven.

Bepaal $$$\int \sinh{\left(x \right)}\, dx$$$.

De integraal van de hyperbolische sinus is $$$\int{\sinh{\left(x \right)} d x} = \cosh{\left(x \right)}$$$:

$${\color{red}{\int{\sinh{\left(x \right)} d x}}} = {\color{red}{\cosh{\left(x \right)}}}$$

Dus,

$$\int{\sinh{\left(x \right)} d x} = \cosh{\left(x \right)}$$

Voeg de integratieconstante toe:

$$\int{\sinh{\left(x \right)} d x} = \cosh{\left(x \right)}+C$$

$$$\int \sinh{\left(x \right)}\, dx = \cosh{\left(x \right)} + C$$$A

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