Prove that $lim_{cto 1^{-}} int_{-c}^{c} frac{xdx}{(x^{2}-1)^{2}} = 0$

Does this imply that $int_{-1}^{1} frac{xdx}{(x^{2}-1) ^{2}}$ converges to 0 ? Graph the integrand over (-1, 1) and explain what is going on.

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# Problem with an integral

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Prove that $lim_{cto 1^{-}} int_{-c}^{c} frac{xdx}{(x^{2}-1)^{2}} = 0$

Does this imply that $int_{-1}^{1} frac{xdx}{(x^{2}-1) ^{2}}$ converges to 0 ? Graph the integrand over (-1, 1) and explain what is going on.

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