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∫ x/(x^2+1) dx

-∞

I basicaly evaluated the integral and Ln (x^2+1) as the antiderivative and when taking the limits I get ∞-∞

(ln |1| -ln|b+1|) + (ln|n+1|- ln|1|)

lim b-> neg. infinity lim n-> infinity

does this function converge or diverge? this was a question on the quiz and everyone in class after said the function converges to zero. I'm a littled puzzled by this.

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# Improper integral, infinite limits of integration

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