数学题，判断反常积分是否收敛？ 高等数学反常积分 判断反常积分是否收敛？怎么判断，要详细过程
\u5224\u65ad\u53cd\u5e38\u79ef\u5206\u662f\u5426\u6536\u655b\uff1f\u628a\u5206\u5b50\u7684e^x\u51d1\u5230d\u540e\u9762\uff0c\u5c31\u53d8\u6210\u4e86de^x/(1+e^x),\u7ed3\u679c\u5c31\u53d8\u6210\u4e86ln(1+e^x), \u4ee3\u5165\u4e0a\u9650\u5f970\uff0c\u4ee3\u5165\u4e0b\u9650\u4e5f\u5f970\uff0c\u7ed3\u679c\u662f0-0=0\uff0c\u6536\u655b.
换元脱根号，令u=√(x－1)
=∫(0.1)1/(u²+1)ud(u²+1)
=∫2/(u²+1)du
=2arctanu
=π/2
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