Integral of $$$a^{u}$$$ with respect to $$$u$$$
The calculator will find the integral/antiderivative of $$$a^{u}$$$ with respect to $$$u$$$, with steps shown.
Related calculator: Integral Calculator
Solution
Apply the exponential rule $$$\int{a^{u} d u} = \frac{a^{u}}{\ln{\left(a \right)}}$$$ with $$$a=a$$$:
$${\color{red}{\int{a^{u} d u}}} = {\color{red}{\frac{a^{u}}{\ln{\left(a \right)}}}}$$
Therefore,
$$\int{a^{u} d u} = \frac{a^{u}}{\ln{\left(a \right)}}$$
Add the constant of integration:
$$\int{a^{u} d u} = \frac{a^{u}}{\ln{\left(a \right)}}+C$$
Answer: $$$\int{a^{u} d u}=\frac{a^{u}}{\ln{\left(a \right)}}+C$$$