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Evaluate : int (x)/(1+x^(4)) "dx "...

Evaluate : `int (x)/(1+x^(4)) "dx "`

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`" Let " I = int (x)/(1+x^(4)) dx`
` " Let "x^(2) =t`
`rArr " "" 2x dx =dt"`
` rArr " " " x dx "=(dt)/(2)`
`:. I = int (dt)/(2(1+t^(2)) )=(1)/(2) " tan"^(-1) t+c`
` =1/2 " tan"^(-1) x^(2)+c`
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