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.

Find $\int a^{u}\, du$ .

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:

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

$\int a^{u}\, du = \frac{a^{u}}{\ln\left(a\right)} + C$ A

Integral of aua^{u}au with respect to uuu