area under the 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 2:01:11 AM | Location : United States







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

Write discussion on area under the curve
Your posts are moderated
Related Questions
Implement multiple stacks in a single dimensional array using c.

Q:  Tells the operators one can override; which operators should he override? A: Bottom line: don't puzzle your users. Remember the reason of operator overloading: to decreas

Your program will read two kinds of data from two files: names and predicates. It will read a formal expression from standard input and check whether that expression is syntactical

if one won't explicitly call the destructor of a local; then how does he handle the above situation?

The project will include Arena models (only .doe files) and MSWord document for the report. Thereport must contain the following sections: 1. Introduction: (a)    Statemen

Project Description: Need someone to prepare a trading platform and sophisticated trading strategy. Must have knowledge and experience in most of these: QuickFIX, Esper, Quan

i need a program that generates this output: The highest card wins! Suit Order is: clubs, diamonds, hearts and spades The computers card is the 5 of Spades. The player’s card is t


Static Class Members As we already know all the objects of the class have dissimilar data members but invoke the similar member functions. Though, there is an exception to this

A: this is a procedure during exception handling while the destructor is called for all local objects in the stack among the place where the exception was thrown & where this is ca