FIND AREA UNDER CURVE, C/C++ Programming

Assignment Help:

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 two points can be found by doing a definite integral between the two points.


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:- FIND AREA UNDER CURVE

Develop stocastic expert advisor, Project Description: Need to develop a...

Project Description: Need to develop an expert advisor base on sthocastic oscilator with my own setting.. Very basic touch line OB/OS only but on my setting n condition Skill

Explain automatic variables, Automatic Variables Automatic variables ar...

Automatic Variables Automatic variables are variable which are explained within the functions. They lose their value when the function terminates. It can be accessed only in th

Program to display appropriate message-clients accounts, Question A ban...

Question A bank normally updates it's clients accounts at the end of each month.Of the two types of bank accounts:savings and checking, a client must maintain a minimum balance

Which one would you prefer - a macro or a function, Which one would you pre...

Which one would you prefer - a macro or a function? Actually it depends on the purpose of program! - In case of macros, corresponding code is inserted directly into your sou

Describe how a structure differs from a union, Question : (a) How does...

Question : (a) How does a structure differ from an array? (b) Describe how a structure differs from a union? (c) Declare a union called ‘clothes' which consists of the

Explain protected derivation, Protected derivation In addition to doing...

Protected derivation In addition to doing private and public derivations, you may also do a protected derivation. In this situation :   The private members inherited

Find area, #question.to determine the area of a triangle,rectangle and tra...

#question.to determine the area of a triangle,rectangle and trapezium

Store marks and name, Program is to store marks and name, roll no in a file...

Program is to store marks and name, roll no in a file: class stud   {     int rno;     char name[20];     int m1,m2,m3;     public:                 void acce

Basic Programming Constructs, Write a program to print all the factors of a...

Write a program to print all the factors of a positive integer A

Displays the lower case and upper case alphabetical letters, Write a progra...

Write a program that displays both the lower case and upper case alphabetical letters using the following Format Lowercase        Uppercase a                        A

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