分部积分
∫x^(-2)·ln²x dx
=-1/x·ln²x+∫1/x·2lnx·1/x dx
=-1/x·ln²x+2∫1/x²·lnx dx
=-1/x·ln²x+2(-1/x·lnx+∫1/x·1/xdx)
=-1/x·ln²x+2(-1/x·lnx-1/x)+C
=-1/x·lnx·(lnx+2)-2/x+C
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