area of curve, Basic Computer Science

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:- area of curve

Designing computer based system-systems life cycle approach, Systems Life C...

Systems Life Cycle Approach Systems Analysis and Design follows a life cycle for development, as shown below. Brief discussion on this approach is given here: Figure

Briefly explain html and xml, Question 1 Briefly explain principles of eff...

Question 1 Briefly explain principles of effective navigation Question 2 Explain the terms URI and URL. Why should you use Relative URI? Question 3 What are the di

Explain the different types of addressing modes, Question 1 What are the d...

Question 1 What are the different stages of evolution of Computer Architecture? Explain in detail Question 2 What are the components of Instruction Set architecture? Discu

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

Autonomous rational agents - artificial intelligence, A utonomous Rational...

A utonomous Rational Agents: In many cases, it is not accurate to talk about a particular program or a particular  robot, as the combination of and software and hardware in so

Collaboration, Collaboration: Collaboration is defined as an act or pr...

Collaboration: Collaboration is defined as an act or process of working together on a project or some intellectual activity. But what is the importance of collaboration? The w

What is a socket, QUESTION (a) You have been asked to design and implem...

QUESTION (a) You have been asked to design and implement a chat application. Which protocol would you used TCP or UDP? Justify your answer. (b) Explain why multithreading is

How to set up the location (e.g. plaza, how to set up the location (e.g. pl...

how to set up the location (e.g. plaza, hall of fame, lecture theater or etc.) and services that will be used during the exhibition; devices needed; and finally produced a compreh

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