$\displaystyle \int_{1}^{2}\frac{\tan^{-1}x}{\tan^{-1}\frac{1}{x^2-3x+3}}dx$
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Originally Posted by pankaj $\displaystyle \int_{1}^{2}\frac{\tan^{-1}x}{\tan^{-1}\frac{1}{x^2-3x+3}}dx$ 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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