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I'm stuck on the follow practice problem, can anyone help:

Prove that: $\lim_{R\to\infty} \int_{0}^{R} \cos{x} /(1+x) dx = \int_{0}^{\infty} \sin{x} /(1+x)^2$ dx

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    It works, thanks2012-12-12

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Have you tried justifying integration by parts?

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    your right int by parts works fine if I just split up the integral into an infinite sum2012-12-12