FIND AREA UNDER CURVE, C/C++ Programming

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 12:43:59 AM | Location : United States







Related Discussions:- FIND AREA UNDER CURVE, Assignment Help, Ask Question on FIND AREA UNDER CURVE, Get Answer, Expert's Help, FIND AREA UNDER CURVE Discussions

Write discussion on FIND AREA UNDER CURVE
Your posts are moderated
Related Questions
Define How Passing Arrays to a Function? A complete array can be passed to a function as an argument. The manner in which the array is passed be different from that of an ordin

C o n t r o l S t r u c t u r e s I t i s o f t h r e e t y p e s: 1 .    S e qu e n c e s t r u c t u r e 2 .

flowchart of c programing to check the given number is prime or not

what are 3 conditions under which the sequential search of a list is preferable to binary search?

Purpose This assignment is an exercise in implementing the queue ADT using a singly-linked list. This assignment also introduces the concept of templates. Assignment Th

Step 1 Define the start of the program    It should be noted that within C all commands should end in a semi-colon. For most of your programs the definition of a program header as

Question Write a program using c++ for the above function , at a= 1000, b=10 -3 ,10 -2 ,10 -4

Help for tomorrow...?

What data structure would you mostly likely see in a nonrecursive implementation of a recursive algorithm?Minimum 100 words accepted#

Implement (a part of) electronic election Scenario where following political parties are participating in election: PPP, PML and PTI.  Create a class PollingStation where it stor