Integraal van $$$10^{t}$$$

De calculator zal de integraal/primitieve functie van $$$10^{t}$$$ bepalen, waarbij de stappen worden weergegeven.

Bepaal $$$\int 10^{t}\, dt$$$.

Apply the exponential rule $$$\int{a^{t} d t} = \frac{a^{t}}{\ln{\left(a \right)}}$$$ with $$$a=10$$$:

$${\color{red}{\int{10^{t} d t}}} = {\color{red}{\frac{10^{t}}{\ln{\left(10 \right)}}}}$$

Dus,

$$\int{10^{t} d t} = \frac{10^{t}}{\ln{\left(10 \right)}}$$

Voeg de integratieconstante toe:

$$\int{10^{t} d t} = \frac{10^{t}}{\ln{\left(10 \right)}}+C$$

$$$\int 10^{t}\, dt = \frac{10^{t}}{\ln\left(10\right)} + C$$$A

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