求不定积分∫[(y^2)+y+1]/[根号下开5次方2(y^3)+3(y^2)+6y] dy
问题描述:
求不定积分∫[(y^2)+y+1]/[根号下开5次方2(y^3)+3(y^2)+6y] dy
答
∫[(y^2)+y+1]/[根号下开5次方2(y^3)+3(y^2)+6y] dy=1/6*∫6[(y^2)+y+1]/[根号下开5次方2(y^3)+3(y^2)+6y] dy=1/6*∫[2(y^3)+3(y^2)+6y]'/[根号下开5次方2(y^3)+3(y^2)+6y] dy=1/6*∫1/[根号下开5次方2(y^3)+3(y^2)+...