具体见图片内容:
∫(X^3)/(1+X^2)dx=(1/2)∫(X^2)/(1+X^2)d(1+x²)=(1/2)∫(1+X^2-1)/(1+X^2)d(1+x²)=(1/2)∫[1-1/(1+X^2)]d(1+x²)=(1/2)∫1d(1+x²) - (1/2)∫[1/(1+X^2)]d(1+x²)=∫xdx - ln|x| + C=x²/2-ln|x|+C