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Jun
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awarded  Scholar
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accepted Trouble with integrating $\frac{\arctan (x)}{x}$
Nov
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comment Trouble with integrating $\frac{\arctan (x)}{x}$
the limit of the arctangent as x approaches infinity is pi divided by two. So the limit of $(arctan x)/x$ is 0 since x is much greater than arctan x. So the integral of that has to be infinite if i'm not mistaken, but i'm not sure how sound that reasoning is.
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awarded  Student
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asked Trouble with integrating $\frac{\arctan (x)}{x}$