MHB Solve Exponential Integral: \int \frac{2^{x}\cdot 3^{x}}{9^{x}-4^{x}}dx

[Yankel]

Hello

I am trying to solve this exponential integral, it's quite complicated. Any hints ?

\int \frac{2^{x}\cdot 3^{x}}{9^{x}-4^{x}}dxmany thanks

 

[alyafey22]

Start by the following

\int \frac{ 1}{\frac{3^{x}}{2^x}-\frac{2^{x}}{3^x}}dx