Write a program to find the area under the curve y =, Other Engineering

#questiWrite 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.
on..

 

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 2:03:06 AM | Location : United States







Related Discussions:- Write a program to find the area under the curve y =, Assignment Help, Ask Question on Write a program to find the area under the curve y =, Get Answer, Expert's Help, Write a program to find the area under the curve y = Discussions

Write discussion on Write a program to find the area under the curve y =
Your posts are moderated
Related Questions
Control Surface Effectiveness and Reversal To discuss the effectiveness and loss of a control surface, we allow a rigid rotation δ of the flap set by a flight control system (o

Question: a) Differentiate between the prime use of a microprocessor and a microcontroller. b) Describe why the design approach of the microcontroller must mirror that of t

The 3 sum problem: (20 pts.) Provided a 1D array of integers, find all combinations of 3 values from this set such that: a+b+c=0 For example, if one were provided with the set [3 1

i have a coursework for finite element analysis of marine structure and i need help to solve it

Pitot intakes: This intake is suitable for subsonic or low supersonic speeds. Examples, 707, 747, A300B, Tristar, etc. The intake is usually short and is very efficient becau

detail information about production planning in tool engineering

The demand placed on a system is described by a lognormally distributed random variable with mean 50 and standard deviation of 10. The capacity of the system is modeled by a Weibul

i want images of series clippers

Corporate Restructuring Corporate restructuring refers to the changes in ownership, business max, assets mix and alliances with a view to enhance the shareholder value. Hence, cor