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

Experiment with computer system measurements, In this assignment, you need ...

In this assignment, you need to experiment with computer system measurements. Firstly, pick a platform to study. Any Unix-based system (such as a PC running some version of Linu

Differentiate between a dynamic and a static web site, QUESTION a) Diff...

QUESTION a) Differentiate between a dynamic and a static web site. b) Why are electronic mails (e-mails) preferred to the post office mails? How do they affect the modern of

System software, note on high level language and low level language

note on high level language and low level language

What are the characteristics of a good documentation?, Question 1 What are...

Question 1 What are the differences between closed and open systems? Question 2 What are the characteristics of a good documentation? Question 3 What are the steps invol

Electronic digital, Design a BCD to excess 3 code converter using minimum n...

Design a BCD to excess 3 code converter using minimum number of NAND gates.

Image processing, Image Processing: This technology is quite advanced ...

Image Processing: This technology is quite advanced and devices are now available for routine scanning and storage of printed pages, graphics, etc., which can then be retrieve

C++, how to use expressions in c++ program with examble

how to use expressions in c++ program with examble

Define Interprocess Communication and its race condition?, In view of the f...

In view of the fact that processes frequently need to communicate with other processes therefore, there is require for a well-structured interaction, devoid of using interrupts, a

Write short notes on joint fiction reserve, QUESTION (i) Write short no...

QUESTION (i) Write short notes on each of the following: a) Shelf reading b) Joint Fiction Reserve c) London and South-Eastern Library Region d) Document access

Data output, DATA OUTPUT : Whatever, data or information that you feed int...

DATA OUTPUT : Whatever, data or information that you feed into a computer will be the data output from a computer system and will be a data file sent from the computer to a periph

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