Integral of $$$15^{x}$$$

The calculator will find the integral/antiderivative of $$$15^{x}$$$, with steps shown.

Find $$$\int 15^{x}\, dx$$$.

Apply the exponential rule $$$\int{a^{x} d x} = \frac{a^{x}}{\ln{\left(a \right)}}$$$ with $$$a=15$$$:

$${\color{red}{\int{15^{x} d x}}} = {\color{red}{\frac{15^{x}}{\ln{\left(15 \right)}}}}$$

Therefore,

$$\int{15^{x} d x} = \frac{15^{x}}{\ln{\left(15 \right)}}$$

Add the constant of integration:

$$\int{15^{x} d x} = \frac{15^{x}}{\ln{\left(15 \right)}}+C$$

$$$\int 15^{x}\, dx = \frac{15^{x}}{\ln\left(15\right)} + C$$$A

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