Question

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

Answer 1

$I=\int \frac{1}{a^x{b}^x}dx$

$=\int (ab{)}^{-x}dx$

$\therefore \Rightarrow \frac{-(ab{)}^{-x}}{ln|ab|}+C$

$[\because \int a^x=a^{x}loga+C]$.