∫(1+lnx)/(x+lnx)^2dx

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/22 13:30:23
∫(1+lnx)/(x+lnx)^2dx∫(1+lnx)/(x+lnx)^2dx ∫(1+lnx)/(x+lnx)^2dx∫(1+lnx)/(x+lnx)^2dx=-∫d[1/(x+xlnx

∫(1+lnx)/(x+lnx)^2dx
∫(1+lnx)/(x+lnx)^2dx
 

∫(1+lnx)/(x+lnx)^2dx
∫(1+lnx)/(x+lnx)^2dx
=-∫d[1/(x+xlnx)] - ∫(1+lnx) dx
= -1/(x+xlnx) - x - ∫lnxdx
=-1/(x+xlnx) - x - xlnx + ∫ dx
=-1/(x+xlnx) - xlnx + C