SOLUTION: integral of xarctanx

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Question 401207: integral of xarctanx
Found 2 solutions by Alan3354, richard1234:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
= (x^2+1)*arctan(x)/2 - x/2 + C

Answer by richard1234(7193)   (Show Source): You can put this solution on YOUR website!
Applying integration by parts, if we let

-->

--> , then



I'll rewrite as , which is equal to .

Therefore the integral is equal to



=

= , where C is a constant

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