Integral x arctan x ↩

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created: 2021-12-17 23:03:43
modified: 2022-01-10 04:13:04

In this integral we can use a trick. One would go about solving this problem, by integrating by parts:

Now the last term in this is very hard to solve. The trick is to just add a constant to since adding a constant does not change the derivative of a function:

This way we got our result very easily.

Other examples using this method/trick