[紧急求助]求积分,$(1/(x^2+2x+2))dx,上限正无穷,下限是0.

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[紧急求助]求积分,$(1/(x^2+2x+2))dx,上限正无穷,下限是0.

[紧急求助]求积分,$(1/(x^2+2x+2))dx,上限正无穷,下限是0.
[紧急求助]求积分,$(1/(x^2+2x+2))dx,上限正无穷,下限是0.

[紧急求助]求积分,$(1/(x^2+2x+2))dx,上限正无穷,下限是0.
pi/2-arctan1
分母变形嘛,(x+1)^2+1,令y=x+1,则为y^2+1这样就是arctan的导数了嘛,于是结果就是arctan无穷-arctan1=pi/2-arctan1

积出来是arctan(x+2) 在取0-正无穷π/2-arctan2