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
Differentiator: With negative feedback applied through a resistor and the input signal through a capacitor, the circuit will perform the mathematical operation of differentiati

A system is a walk-in medical clinic; a simulation is used to determine staffing levels. Under what circumstances would it be appropriate to use a terminating simulation or a stead

when same music is played in veena and violin , we shall hear the sound of

would you help with Evans diagram( draw and explain) for Iron in seawater,and how variability of Oxygen concentration affect the electrode potential vs.current?


Calculate the market value of a firm with total assests of $105 million and $50 million of 10% perpetual debt in the capital structure. The firm''s cost of equity is 14% on the $55

Assignment Title: Die Press Assembly Drawing The objective of this assignment is to demonstrate the following concepts of design. • Extrude • Revolve • Fillet • Dimensioning • To


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

draw folded plate roof structure on multi purpose hall?