Answer
$$\left( {\frac{1}{{\ln 10}}} \right){10^x} + C$$
Work Step by Step
$$\eqalign{
& \int {{{10}^x}} dx \cr
& {\text{use the integration formula }}\int {{a^x}} dx = \left( {\frac{1}{{\ln a}}} \right){a^x} + C. \cr
& {\text{for this exercise we can set }}a = 10.{\text{ then}} \cr
& \int {{{10}^x}} dx = \left( {\frac{1}{{\ln 10}}} \right){10^x} + C \cr} $$
