∫_(1/e)^e |lnx|*dx =∫_(1/e)^1 -lnx*dx + ∫_1^e lnx dx =-[xlnx-x]_(1/e)^1 + [xlnx-x]_1^e =-[(-1) - (1/e*-1 - 1/e)] + [(e*1 - e) - (-1)] =1 - 2/e + 1 =2 - 2/e希望采纳