area under the curve, C/C++ Programming

Assignment Help:

Area under the curve
Write a program to find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. The area under a curve between 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

ARRAY, A PROGRAM TO CALCULATE AREA OF TRIANGLE

A PROGRAM TO CALCULATE AREA OF TRIANGLE

Programming, Write a program that writes your name on the monitor ten times...

Write a program that writes your name on the monitor ten times. Write this program three times, once with each looping method.

How to implement tr- 106 protocol, Environment - C, Linux Duration - De...

Environment - C, Linux Duration - December 2006 to Feb 2007 Description - TR-106 specifies a generic data model template applicable for all TR-069 enabled devices. Adde

C, find area uder the curve y=f(x) between x=a and x=b

find area uder the curve y=f(x) between x=a and x=b

Program that will recursively prompt for input from the user, BACKGROUND: F...

BACKGROUND: FILE SYSTEMS  In a computer, a file system (sometimes written filesystem) is the way in which files are named and where they are placed logically for storage and ret

Program in rpeanut that fills the graphics display, Write a program that co...

Write a program that counts from 0 to 99 and prints these numbers to the terminal ie it prints 00, 01, 02, 03, 04, 05, ....,99. Graphics 1. Write a program in rPeANUt that

Program is to read the characters from keyboard, Program is to read the cha...

Program is to read the characters from keyboard: Program is to read the characters from keyboard one by one stored in different files as upper constants, lower constants, othe

A client and a server for an instant messaging system based , Develop a cli...

Develop a client and a server for an instant messaging system based on UDP and IPv4

Create a client program tracker, This project simulates an application call...

This project simulates an application called tracker for the Department of Transportation (DOT) in which highway traffic data is accumulated in real time using various sensing equi

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