∫[(3x⁴-3x²+5x²)/(1+x)]dx=∫[(3x⁴-3x²+5x²)/(1+x)]dx=∫[3x²(x-1)+(5x²-5+5)/(1+x)]dx=∫[3x³-3x²+5x-5+5/(1+x)]dx=¾x⁴-x³+2.5x²-5x+5ln|x+1|+C
