feat: 增加式子转化

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ViperEkura 2026-04-19 13:59:38 +08:00
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# 积分与极限求和式的转化
根据公式
$$
\int_a^b f(x)dx = \lim_{n\to\infty}\sum_{i=1}^n f(x_i)\Delta x
$$
对于均匀矩形分割的情况, 实际上只用分离出 $\frac{1}{n}$
$$
\int_a^b f(x)dx = \lim_{n\to\infty}\sum_{i=1}^n f(a + \frac{(b-a) i}{n} ) \frac{b-a}{n}
$$