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Exponential integral

Yankel

Active member
Jan 27, 2012
398
Hello

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

[tex]\int \frac{2^{x}\cdot 3^{x}}{9^{x}-4^{x}}dx[/tex]


many thanks
 

ZaidAlyafey

Well-known member
MHB Math Helper
Jan 17, 2013
1,667
Start by the following

[tex]\int \frac{ 1}{\frac{3^{x}}{2^x}-\frac{2^{x}}{3^x}}dx[/tex]