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I am having problems with a couple of integration by parts questions

I have answered but my answer does not agree with the provided answer (which is answer only, no working)

 

Maybe someone can give me their worked answer so I can compare?

 

\(\int x\;tan^{-1}x\;\;dx\)

 Oct 5, 2021
 #1
avatar+33615 
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Have a look at: https://www.youtube.com/watch?v=0KPeDLSLKro 

 Oct 5, 2021
 #2
avatar+105 
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Thanks very much Alan,    laugh

 

I just differentiated inverse tan incorrectly.

It was a careless mistake that I kept overlooking    blush

 Oct 5, 2021

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