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CyBorG (1579)

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dx/(1+x3)=dx/[(1+x)(1-x+x2)]
Let 1/[(1+x)(1-x+x2)]=A/(1+x)+(Bx+C)/(1-x+x2)
Find A,B and C we get A=1/3 ,B= -1/3 and C=2/3
So dx/(1+x3)=[1/3(1+x)+(2-x)/3(1-x+x2)]dx
Then you can proceed.
The final answer is [ln(1+x)]/3-[log(1-x+x2)]/6+{tan-1[(2x-1)/3]}/3

-ADARSH NITK Surathkal
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