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Questions on the analytic and numerical equation solving functions of Mathematica (Solve, Reduce, NSolve, FindRoot, DSolve, RSolve, etc.).

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Finding root of function with numerical integration

I have two function, $\alpha20$ and $\alpha22$, which are given in terms of some integrals. They depend on some parameters. I fix most of them except $(T,\mu)$. I want to find the roots of these funct …
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