x-1分之1+x+1分之1+x^2+1分之2x+x^4+1分之4x^3

问题描述:

x-1分之1+x+1分之1+x^2+1分之2x+x^4+1分之4x^3

1/(x-1)+1/(x+1)+2x/(x^2+1)+4x^3/(x^4+1)=(x+1)/(x^2-1)+(x-1)/(x^2-1)+2x/(x^2+1)+4x^3/(x^4+1)=2x/(x^2-1)+2x/(x^2+1)+4x^3/(x^4+1)=2x[(x^2+1)+(x^2-1)]/(x^4-1)+4x^3/(x^4+1)=2x*2x^2/(x^4-1)+4x^3/(x^4+1)=4x^...