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content/杂七杂八/数学/数学分析3 大逃杀笔记2.md

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@@ -308,3 +308,10 @@ $$\frac{d}{dx}\int ^{\phi(x)}_{\rho(x)} f(x,y)dy=f(x,\phi(x))\cdot \phi'(x)-f(x,
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### 广义含参积分
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#### M 判别法
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$$\begin{align}
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& |f(x,y)\leq g(y)|,\quad 且 \int ^{+\infty} _{c} g(y) dy 收敛, \\
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& \quad 则 \int ^{+\infty} _{c} f(x,y) dy 在 [c,d] 一致收敛.
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\end{align}$$
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