Math Help - Integrate this one

1. Integrate this one

$\int_{1}^{2}\frac{\tan^{-1}x}{\tan^{-1}\frac{1}{x^2-3x+3}}dx$

2. Re: Integrate this one

Originally Posted by pankaj
$\int_{1}^{2}\frac{\tan^{-1}x}{\tan^{-1}\frac{1}{x^2-3x+3}}dx$
Since Wolfram Alpha cannot find a closed form for this integral in terms of elementary functions it likely does not have one.

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