area under the curve, C/C++ Programming

Assignment Help:

program area under the curve y=f(x) between x=a & y=b, integrate y=f(x) between the limits of a & b

 

Solution:

#include
float    start_point,            /* GLOBAL VARIABLES */

    end_point,
    total_area;
int    numtraps;
main( )
{
   void    input(void);
   float    find_area(float a,float b,int n); /* prototype */


   print(“AREA UNDER A CURVE”);
   input( );
   total_area = find_area(start_point, end_point, numtraps);
   printf(“TOTAL AREA = %f”, total_area);
}
void input(void)
{
   printf(“\n Enter lower limit:”);
   scanf(“%f”, &start_point);
   printf(“Enter upper limit:”);
   scanf(“%f”, &end_point);
   printf(“Enter number of trapezoids:”);
   scanf(“%d”, &numtraps);
}
float find_area(float a, float b, int n)
{
      floatbase, lower, h1, h2;    /* LOCAL VARIABLES */
float function_x(float x);    /* prototype */
float trap_area(float h1,float h2,floatbase);/*prototype*/
base = (b-1)/n;
         lower = a;
       for(lower =a; lower <= b-base; lower = lower + base)
    {
    h1  =  function_x(lower);
             h1  =  function_x(lower + base);
             total_area += trap_area(h1, h2, base);
    }
return(total_area);
    float trap_area(float height_1,float height_2,floatbase)
        {
       float area;    /* LOCAL VARIABLE */

       area = 0.5 * (height_1 + height_2) * base;
         return(area);
    }
    float function_x(float x)
    {
         /* F(X) = X * X + 1 */
return(x*x + 1);
    }
   
Output

    AREA UNDER A CURVE
    Enter lower limit: 0
    Enter upper limit:  3
    Enter number of trapezoids: 30
    TOTAL AREA   =  12.005000

    AREA UNDER A CURVE
    Enter lower limit: 0
    Enter upper limit: 3
    Enter number of trapezoids: 100
    TOTAL AREA = 12.000438


Related Discussions:- area under the curve

Make a connection to fifa ultimate team 14 using c++ or c#, I need to creat...

I need to create a connection to FIFA Ultimate Team 14, I want to utilize C++ specifically for the reason that that is the language I have the most experience in. There are a co

Molecular dynamics and Monte carlo, Molecular dynamics for a Lennard-Jones ...

Molecular dynamics for a Lennard-Jones system (in C++) 1. Write a function which reads in the input variables of a molecular dynamics simulation of a Lennard-Jones system. The inpu

Questions on functions, Write a function for finding out highest and lowest...

Write a function for finding out highest and lowest marks obtained by a student from an array contained student name and marks. For Example : GetHighestLowestMarks{Student{n}, Ma

Described local class? why can it be useful?, It is a class defined in the ...

It is a class defined in the scope of a function _ any function, whether a member functions or a free function. For instance: // Example : Local class // int f() { c

Assignment, write a simple c++ program to that use the value to add five nu...

write a simple c++ program to that use the value to add five number .your program should prompt the user to enter these five numbers one after the other

How can i present printing for my class fred?, A: Use operator overloading ...

A: Use operator overloading to present a friend left-shift operator, operator #include class Fred { public: friend std::ostream& operator ... private: int i_; // onl

Explain formatted input output with file pointer, Explain Formatted Input O...

Explain Formatted Input Output with File Pointer? Likewise there are equivalents to the functions scanf and printf which write or read data to files. These are called fscanf a

Creates and implements a class to represent the queue, Purpose This ass...

Purpose This assignment is an exercise in implementing the queue ADT using a singly-linked list. This assignment also introduces the concept of templates. Assignment Th

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd