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

Do friends break encapsulation?, A: No. If they're utilized properly, they ...

A: No. If they're utilized properly, they increase encapsulation. You frequently require splitting a class in half while the two halves will have distinct numbers of instances o

Write a program to calculate the average of ten numbers, Write a program to...

Write a program to calculate the average of ten numbers       #include stdio.h     /* Only this header is needed since only IO are used */     void main()     {          char

Application to maintain soccer team information, Write a C program "team.c"...

Write a C program "team.c" that maintains information for a soccer team. The program will allow you to add and delete players from your team, to search your team for players by nam

C code, how can i easily make a program?

how can i easily make a program?

Resection method, recsection method source code for searching position

recsection method source code for searching position

Calculate the average assignment grade, 1. The main program must be in a fi...

1. The main program must be in a file called A4.cpp 2. The data must be read in from a data file.  The user must enter the filename.  A sample data file will be provided on Mood

Matematic, how to make program c++

how to make program c++

How can I fix this to, Write a program consisting of two functions (plus ma...

Write a program consisting of two functions (plus main). The first function should read in a number and then pass this back to main. This value should then be passed into a secon

Pointer declaration for member function, P o i n t e r d...

P o i n t e r d e c l a r a t i o n f o r me m b e r f un c t i o n : M e t h o d 1 : W h e n C l a ss i s n o t

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