What is the integral of (2^x3^x)/(9^x-4^x) ?

The integral of (2^x3^x)/(9^x-4^x) is Non integrable function

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integral of (2^x3^x)/(9^x-4^x)

\int \frac{2 ^{x} 3 ^{x}}{9 ^{x} - 4 ^{x}} d x

Non integrable function

Solution steps

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

= Non integrable function

x \to - 1 lim (x^{2} - 5 x + 7)

x y^{^{'}} - 2 y = - x^{2} - 2 x - 1

y^{^{'}} = x y^{- 2} - 2 y

x^{2} y^{^{'}} + x y = \frac{y ^{3}}{x}

e^{a r c t a n (4 t^{2})}

What is the integral of (2^x3^x)/(9^x-4^x) ?
The integral of (2^x3^x)/(9^x-4^x) is Non integrable function