# Indefinite Integral – A quotient of exponential functions – Exercise 6387

Exercise

Evaluate the integral

$$\int \frac{2^x+5^x}{10^x} dx$$

$$\int \frac{2^x+5^x}{10^x} dx=-\frac{1}{5^x\ln 5}-\frac{1}{2^x\ln 2}+c$$