# Problem with an integral

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.