can You help me with this indefinite integral
$$\int \dfrac{2^{x + 1} + 5^x}{10^x} dx$$
What to use. direct integration or substitute of variables Thanks
2026-04-30 04:09:28.1777522168
Cannot solve indefinite integral
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$$\int \dfrac{2^{x + 1} + 5^x}{10^x} dx=\int 2 \times5^{-x}+2^{-x} dx$$
$$=2\int e^{-\ln(5)x} dx+\int e^{-\ln(2)x} dx=-2\frac{5^{-x}}{\ln(5)}-\frac{2^{-x}}{\ln(2)}+C$$