∫lnxdx
=xlnx-∫xdlnx
=xlnx-∫x*1/xdx
=xlnx-x+C
所以原式=∫(1/e,1)(-lnx)dx+∫(1,e)lnxdxc
=-(xlnx-x)(1/e,1)+(xlnx-x)(1,e)
=-(-1-1/e+1/e)+(e-e-0+1)
=2可是答案是2(1-2/e)
求不定積分∫[1/e,e]|lnx|dx
求不定積分∫[1/e,e]|lnx|dx
數(shù)學(xué)人氣:918 ℃時(shí)間:2020-09-30 21:44:41
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