YTU 2421: C语言习题矩形法求定积分

2421: C语言习题矩形法求定积分

时间限制: 1 Sec 内存限制: 128 MB

提交: 354 解决: 234

题目描述

写一个用矩形法求定积分的通用函数，分别求

（说明: sin,cos,exp已在系统的数学函数库中，程序开头要用#include<cmath>）。

输入

输入求sin(x) 定积分的下限和上限

输入求cos(x) 定积分的下限和上限

输入求exp(x) 定积分的下限和上限

输出

求出sin(x)的定积分

求出cos(x)的定积分

求出exp(x)的定积分

样例输入

样例输出

The integral of sin(x) is :0.48

The integral of cos(x) is :0.83

The integral of exp(x) is :1.76

提示

主函数已给定如下，提交时不需要包含下述主函数

/* C代码 */

int main()

{

    float integral(float (*p)(float),float a,float b,int n);

    float a1,b1,a2,b2,a3,b3,c,(*p)(float);

    float fsin(float);

    float fcos(float);

    float fexp(float);

    int n=20;

    scanf("%f%f",&a1,&b1);

    scanf("%f%f",&a2,&b2);

    scanf("%f%f",&a3,&b3);

    p=fsin;

    c=integral(p,a1,b1,n);

    printf("The integral of sin(x) is :%.2f\n",c);

    p=fcos;

    c=integral(p,a2,b2,n);

    printf("The integral of cos(x) is :%.2f\n",c);

    p=fexp;

    c=integral(p,a3,b3,n);

    printf("The integral of exp(x) is :%.2f\n",c);

    return 0;

}

/* C++代码 */

int main()

{

    float integral(float (*p)(float),float a,float b,int n);

    float a1,b1,a2,b2,a3,b3,c,(*p)(float);

    float fsin(float);

    float fcos(float);

    float fexp(float);

    int n=20;

    cin>>a1>>b1;

    cin>>a2>>b2;

    cin>>a3>>b3;

    cout<<setiosflags(ios::fixed);

    cout<<setprecision(2);

    p=fsin;

    c=integral(p,a1,b1,n);

    cout<<"The integral of sin(x) is :"<<c<<endl;

    p=fcos;

    c=integral(p,a2,b2,n);

    cout<<"The integral of cos(x) is :"<<c<<endl;;

    p=fexp;

    c=integral(p,a3,b3,n);

    cout<<"The integral of exp(x) is :"<<c<<endl;

    return 0;

}

迷失在幽谷中的鸟儿，独自飞翔在这偌大的天地间，却不知自己该飞往何方……

#include <stdio.h>

#include <math.h>

float integral(float (*p)(float),float a,float b,int n)

{

    float s=0.0,i,w;

    w=(b-a)/n;

    for(i=a; i<=b; i+=w)

        s+=p(i+w)*w;

    return s;

}

float fsin(float a)

{

    return sin(a);

}

float fcos(float a)

{

    return cos(a);

}

float fexp(float a)

{

    return exp(a);

}

int main()

{

    float integral(float (*p)(float),float a,float b,int n);

    float a1,b1,a2,b2,a3,b3,c,(*p)(float);

    float fsin(float);

    float fcos(float);

    float fexp(float);

    int n=20;

    scanf("%f%f",&a1,&b1);

    scanf("%f%f",&a2,&b2);

    scanf("%f%f",&a3,&b3);

    p=fsin;

    c=integral(p,a1,b1,n);

    printf("The integral of sin(x) is :%.2f\n",c);

    p=fcos;

    c=integral(p,a2,b2,n);

    printf("The integral of cos(x) is :%.2f\n",c);

    p=fexp;

    c=integral(p,a3,b3,n);

    printf("The integral of exp(x) is :%.2f\n",c);

    return 0;

}