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∫负无穷到正无穷1/x^2+2x+2dx
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∫负无穷到正无穷1/x^2+2x+2dx
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∫负无穷到正无穷1/（x^2+2x+2）dx
=∫负无穷到正无穷1/[（x+1）^2+1]dx
=∫负无穷到正无穷1/1/[（x+1）^2+1]d（x+1）
=arctan(x+1）│负无穷到正无穷
=π/2-（-π/2）
=π
=∫负无穷到正无穷1/[（x+1）^2+1]dx
=∫负无穷到正无穷1/1/[（x+1）^2+1]d（x+1）
=arctan(x+1）│负无穷到正无穷
=π/2-（-π/2）
=π
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