第三周第一节课。
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@@ -586,7 +586,7 @@ C^n [a,b] = \{f \in C[a,b] \mid f^{(n)} \in C[a,b]\}\]
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$p \neq 1$时,
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\begin{align*}
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\int_e^{+\infty} \frac{1}{x(\ln x)^p \dif x} & = \int_e^{+\infty} \frac{1}{(\ln x)^p} \dif \ln x\\
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\int_e^{+\infty} \frac{1}{x(\ln x)^p} \dif x & = \int_e^{+\infty} \frac{1}{(\ln x)^p} \dif \ln x\\
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& = \eval{\frac{1}{1 - p}(\ln x)^{1 - p}}_e^{+\infty}\\
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& = \begin{cases}
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\frac{1}{p - 1}, p > 1\\
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