I have this integral that when solved, involves squares and natural logs, where ##A\,##,##\,b\,##, and ##\,x_e\,## are constants while ##x## is a variable.(adsbygoogle = window.adsbygoogle || []).push({});

##A = \int_{x_e}^{x} \frac{x^2 - b^2}{x} dx = \int_{x_e}^{x} x \, dx -b^2 \int_{x_e}^{x} \frac{dx}{x} = \frac{x^2}{2} - \frac{x_e^2}{2} - b^2 \ln x + b^2 \ln x_e##

Now, I want to solve for ##x## but I can't think of a way to isolate x, maybe there is a way to integrate this another way and come up with an answer that can isolate x easily or maybe there is something I'm missing?

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# I Integral involving square and log

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