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(x^3+x^2)/(1+x^4)

I have been taught only integration by substitution. My teacher told me that this can be solved using that ith some trick.

I have tried for a long time. All that I can do was to convert the numerator to x^2(x+1)

and the denominator to (x^2-1)^2+2x^2

but without sucess.

Next I tried to break the given thing into two terms. it helped a little but I was again stuck on the second term, ie. , i couldnt again find out the integration of x^2/(1+x^4)

Please hlp me. Its maddening.