Question

Evaluate: $\int \frac{1}{a^x{b}^x}dx$

Answer 1

$$\begin{gathered} \int \frac{dx}{a^x{b}^x} \\ =\int \left(a^{-x}{b}^{-x}\right)dx \\ =\frac{a^{-x}{b}^{-x}}{-{\log }_e\left(ab\right)}+C \end{gathered}$$