area of curve, Basic Computer Science

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

Posted Date: 9/3/2012 2:25:47 AM | Location : United States







Related Discussions:- area of curve, Assignment Help, Ask Question on area of curve, Get Answer, Expert's Help, area of curve Discussions

Write discussion on area of curve
Your posts are moderated
Related Questions
#questionexplain strategic mis categories in detail with illustration..

what is computer mapped input / output

Write a method called Grade that takes a numeric score and returns a letter grade. Use the rule that 90 to100 is an A, 80 to 89 a B, 60 to 79 is a C, 45 to 59 is a D, and less th


assignment of making a small database in C# with a back end support of MS Access. i required a form with following options : Enter a new user (user name, father name, age, d

Questions 1) Polynomial Integrals Problem: Write an X86-series assembly language program that calculates and prints out (in a nice form) the indefinite integral of a simple polynom

Server Programs:   Server programs are dedicated computer programs that run as services and serve the needs or requests of other programs. These services may run on a dedicated


write a function named "location_of_largest"that takes as its arguments the following:(1) an array of integer values

Question 1 What is an operating system? Explain its functions Question 2 Discuss round-robin scheduling Question 3 Discuss on segmentation Question 4 What are the s