Calculate $\int 5^{x+1}e^{2x-1}\,dx$ How to calculate following integration?
$$\int 5^{x+1}e^{2x-1}dx$$

$$\int 5^{x+1}e^{2x-1}dx=\int e^{(x+1)\ln 5}e^{2x-1}dx=\int e^{(2+\ln 5)x+\ln5-1}dx=5e^{-1}\int e^{(2+\ln 5)x}dx$$
Can you continue?
