先展开被积函数:原积分 = ∫(x + 2/x + x^(-3)) dx = (1/2)x^2 + 2ln|x| - (1/2)x^(-2) + c
∫[(√x)+1/(√x³)]²dx=∫[x+(2/x)+(1/x³)]dx=(1/2)x²+2ln∣x∣-1/(2x²)+C;