NA-PTA-NA Lab8 Composite Simpson Itegration

该博客介绍了一种形如正弦曲线的屋顶结构,任务是根据给定的屋顶长度,利用复合辛普森积分法计算所需的平面塑料板长度。题目中指出,函数y(x)=lsin(lx)定义了屋顶的截面,要求求解者计算从单位为厘米转换为米的所需材料长度。注意,积分的精度和正弦曲线的海拔、频率等参数会影响计算结果。博客提到这是一个‘钓鱼题’,暗示实际解题时可能不需要考虑给定的精度参数。

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Shape Roof
The kind of roof shown in Figure 1 is shaped from plain flat rectangular plastic board in Figure 2.
在这里插入图片描述
The transection of the roof is a sine curve which fits the function y(x)=lsin(lx) in centimeters. Given the length of the roof, your task is to calculate the length of the flat board needed to shape the roof.

Format of function:

double Integral(double a, double b, double (*f)(double x, double y, double z), double eps, double l, double t);

where the function Integral returns the value of a definit integral of a given function pointed by f over a given interval from double a to double b. The integrant function f will be defined in the sample program of judge. Other parameters are: double eps, the accuracy of the resulting value of the integral; double l and double t, the altitude and the frequency of the sine curve, respectively.

Note: the length of the flat board which Integral returns must be in meters.

Sample program of judge:

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