Integraal van $$$\frac{1}{t}$$$

De calculator zal de integraal/primitieve functie van $$$\frac{1}{t}$$$ bepalen, waarbij de stappen worden weergegeven.

Bepaal $$$\int \frac{1}{t}\, dt$$$.

De integraal van $$$\frac{1}{t}$$$ is $$$\int{\frac{1}{t} d t} = \ln{\left(\left|{t}\right| \right)}$$$:

$${\color{red}{\int{\frac{1}{t} d t}}} = {\color{red}{\ln{\left(\left|{t}\right| \right)}}}$$

Dus,

$$\int{\frac{1}{t} d t} = \ln{\left(\left|{t}\right| \right)}$$

Voeg de integratieconstante toe:

$$\int{\frac{1}{t} d t} = \ln{\left(\left|{t}\right| \right)}+C$$

$$$\int \frac{1}{t}\, dt = \ln\left(\left|{t}\right|\right) + C$$$A

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