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

Briefly explain registers, Question 1 Briefly explain Registers Que...

Question 1 Briefly explain Registers Question 2 What are complier and interpreter? Question 3 Explain the process of installing Windows XP Question 4 Wr

Computer architecture, #formular for calculating speed up factor fo super s...

#formular for calculating speed up factor fo super scalar architecture, super pipeline architecture and VLIW with m different functional units.

Evolution of a computer, EVOLUTION OF A COMPUTER: Although 'computer',...

EVOLUTION OF A COMPUTER: Although 'computer', as we understand it today, is relatively of recent innovation, its development rests on centuries' of research. This section pres

Discrete math, Below you will find a question the areas of automata. Solve ...

Below you will find a question the areas of automata. Solve the problem showing all steps. Thoroughly explain how and why you performed each step with complete sentences. A finite

Write a note on modems, Question 1 Write a note on modems Question ...

Question 1 Write a note on modems Question 2 What are the Safe Chatting Rules Question 3 Explain three basic kinds of hypertext links Question 4 Write a no

Differentiate the client–server and peer-to-peer models of d, The client-se...

The client-server model firmly differentiates the roles of the client and server. According to this model, the client requests services that are provided by the server. The peer-to

The gigo principle, The GIGO Principle : This is a simple principle with a...

The GIGO Principle : This is a simple principle with a clear message and universal application - Garbage In - Garbage out! Always try and enter any data in the form you want to

Paid Website Usability Testers, Assess the reliability of data gathered via...

Assess the reliability of data gathered via paid Internet users. Describe and assess the evaluation method being used by the testing company, i.e., nonvisual and verbal recording o

Date mining, I have assignment in Date mning can you help me

I have assignment in Date mning can you help me

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