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Homework Statement
Is $\intop_{-\infty}^{\infty}\arctan(x)\, dx$ convergent?
What about $\lim_{t\rightarrow\infty}\intop_{-t}^{t}\arctan(x)\, dx$?
Homework Equations
The Attempt at a Solution
I think the first integral may actually be divergent the way its written and the second one convergent. This is just a hunch though. Can anyone shed some light on this?
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