Answer
$$\frac{{19.4\left( {{{1.07}^x}} \right)}}{{\ln 1.07}} + C$$
Work Step by Step
$$\eqalign{
& \int {19.4\left( {{{1.07}^x}} \right)} dx \cr
& {\text{use the constant multiple rule }}\int {kf\left( x \right)dx} = k\int {f\left( x \right)} dx \cr
& = 19.4\int {{{1.07}^x}} dx \cr
& {\text{find the antiderivative by using the formula }}\int {{a^x}} dx = \frac{{{a^x}}}{{\ln a}} + C \cr
& = 19.4\left( {\frac{{{{1.07}^x}}}{{\ln 1.07}}} \right) + C \cr
& {\text{simplifying}} \cr
& = \frac{{19.4\left( {{{1.07}^x}} \right)}}{{\ln 1.07}} + C \cr} $$
