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

Explain reference oddities, Reference Oddities A reference variable can...

Reference Oddities A reference variable can demote to any integer variable, be it in an array or a member variable from structure or class. Reference variables can demote to co

Link list, For this program you will add and test 2 new member functions to...

For this program you will add and test 2 new member functions to the IntSLList class posted on the website. The two member functions are: insertByPosn(int el, int pos) Assuming t

Function that have parameter and makes an integer mask, Write a function th...

Write a function that has an int parameter n, makes an integer mask having the bit 1 at the nth place from the rightmost bit, and returns the mask. For example, when n = 5 is passe

.Change to palindrome, A palindrome is a string that reads the same from bo...

A palindrome is a string that reads the same from both the ends. Given a string S convert it to a palindrome by doing character replacement. Your task is to convert S to palindrome

Write a program that finds the minimum total number of shelv, Write a progr...

Write a program that finds the minimum total number of shelves, including the initial one required for this loading process.

We want database development, Presently we are using several spreadsheets t...

Presently we are using several spreadsheets to give weekly activity and income reports. Much of the information is being frequently re-keyed into several spreadsheets - we are look

C, A palindrome is a string that reads the same from both the ends. Given a...

A palindrome is a string that reads the same from both the ends. Given a string S convert it to a palindrome by doing character replacement. Your task is to convert S to palindrome

Explain call by reference, Call by Reference Passing variables(paramete...

Call by Reference Passing variables(parameters) to a function in C can be done in two ways - pass by value, also called as call by value and pass by address or also known as ca

Decode the code, smugglers are becoming very smart day by day. Now they hav...

smugglers are becoming very smart day by day. Now they have developed a new technique of sending their messages from one smuggler to another. In their new technology, they are send

Determine the canonical form, Rule: To determine the canonical form we s...

Rule: To determine the canonical form we should OR the min terms. A min term is defined as a Boolean equation of the input if the output is logic '1'. If the input is logic '1'

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