$Prove that the Sum of Given Integral is a Rational no.\\\\ $\mathbf{\int\limits_{-100}^{-10}\left(\dfrac{x^2-x}{x^3-3x+1}\right)^2dx+\int\limits_{\frac1{101}}^{\frac1{11}}\left(\dfrac{x^2-x}{x^3-3x+1}\right)^2dx+\int\limits_{\frac{101}{100}}^{\frac{11}{10}}\left(\dfrac{x^2-x}{x^3-3x+1}\right)^2dx}$
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