Integral von $$$2025^{x}$$$

Bestimme $$$\int 2025^{x}\, dx$$$.

Apply the exponential rule $$$\int{a^{x} d x} = \frac{a^{x}}{\ln{\left(a \right)}}$$$ with $$$a=2025$$$:

$${\color{red}{\int{2025^{x} d x}}} = {\color{red}{\frac{2025^{x}}{\ln{\left(2025 \right)}}}}$$

Daher,

$$\int{2025^{x} d x} = \frac{2025^{x}}{\ln{\left(2025 \right)}}$$

Vereinfachen:

$$\int{2025^{x} d x} = \frac{2025^{x}}{2 \ln{\left(45 \right)}}$$

Fügen Sie die Integrationskonstante hinzu:

$$\int{2025^{x} d x} = \frac{2025^{x}}{2 \ln{\left(45 \right)}}+C$$

$$$\int 2025^{x}\, dx = \frac{2025^{x}}{2 \ln\left(45\right)} + C$$$A