Question Number 44423 by peter frank last updated on 28/Sep/18
$${evaluate}\:\int\mathrm{3}^{{x}} {dx} \\ $$
Answered by MrW3 last updated on 28/Sep/18
$$\int\mathrm{3}^{{x}} {dx} \\ $$$$=\int{e}^{{x}\mathrm{ln}\:\mathrm{3}} {dx} \\ $$$$=\frac{\mathrm{1}}{\mathrm{ln}\:\mathrm{3}}\int{e}^{{x}\mathrm{ln}\:\mathrm{3}} {d}\left({x}\mathrm{ln}\:\mathrm{3}\right) \\ $$$$=\frac{\mathrm{1}}{\mathrm{ln}\:\mathrm{3}}\:{e}^{{x}\mathrm{ln}\:\mathrm{3}} +{C} \\ $$$$=\frac{\mathrm{3}^{{x}} }{\mathrm{ln}\:\mathrm{3}}+{C} \\ $$
Commented by peter frank last updated on 29/Sep/18
$${thank}\:{you}\:{sir} \\ $$$$ \\ $$