SOLUTION: find the most general anti-derivative D^-1 X ----------- -- = X DX (SQRT)1+X^2

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Question 1031660: find the most general anti-derivative
D^-1 X
-------------- = X DX
(SQRT)1+X^2 ----- ------
(SQRT)1+X^2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming you're looking for this,

Use a substitution,
u=1%2Bx%5E2
du=2xdx
So then,


int%28%28x%2Fsqrt%281%2Bx%5E2%29%29%2Cdx%29=u%5E%281%2F2%29%2BC
int%28%28x%2Fsqrt%281%2Bx%5E2%29%29%2Cdx%29=sqrt%281%2Bx%5E2%29%2BC