Integrate the following: (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.