求有理函数的不定积分§X/(X^3-1)dx
问题描述:
求有理函数的不定积分§X/(X^3-1)dx
答
Sx/(x^3-1)dx=1/3S*(1/(x-1)-(x-1)/(x^2+x+1))dx
=1/3*ln|x-1|-1/6*ln(x^2+x+1)+2根3/3*arctan(x/根3+1/根3)+c