Question Number 89025 by M±th+et£s last updated on 14/Apr/20
$$\int\frac{\mathrm{3}^{{x}} +\mathrm{4}^{{x}} }{\mathrm{5}^{{x}} }{dx} \\ $$
Answered by $@ty@m123 last updated on 14/Apr/20
$$\int\left(\frac{\mathrm{3}}{\mathrm{5}}\right)^{{x}} {dx}+\int\left(\frac{\mathrm{4}}{\mathrm{5}}\right)^{{x}} {dx} \\ $$$$=\frac{\left(\frac{\mathrm{3}}{\mathrm{5}}\right)^{{x}} }{\mathrm{ln}\:\left(\frac{\mathrm{3}}{\mathrm{5}}\right)}+\frac{\left(\frac{\mathrm{4}}{\mathrm{5}}\right)^{{x}} }{\mathrm{ln}\:\left(\frac{\mathrm{4}}{\mathrm{5}}\right)}\:+\mathrm{C} \\ $$