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integrate 1/1+x^4
1/1+x4 =1/[x2(x2+1/x2)]
Split as :
1+1/x2 - (1-1/x2)
2(x2+1/x2)
Evaluate as 2 integrals :
Put t=x-1/x in 1st & t=x+1/x in 2nd
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