repeated integral

例句：

1. 1. The repeated integral of the series is calculated using the formula for the sum of an arithmetic series.
   这个数列的重复积分用等差数列求和公式计算。
2. 2.The repeated integral of the function f(x) = x^3 over the interval [0, 1] is given by the integral from 0 to 1 of (x^3)^2/2.
   函数f(x) = x^3在区间[0, 1]上的重复积分是(x^3)^2/2从0到1的积分。
3. 3. In this example, we will calculate the repeated integral of the function g(x) = x^4 over the interval [-1, 1].
   在这个例子中，我们将计算函数g(x) = x^4在区间[-1, 1]上的重复积分。