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
Single acting turbo prop operation: Before moving on to double acting propellers the following diagram and explanations will help the student consolidate the information listed

the royal canadian hillies plan to locate a brandy carryout in the Yukan.A number of saint Bernard dogs ,trained by sergeant preston ,will be used to rescue lost tourists looking f


function ismember - set operations: The function ismember receives two vectors as input arguments, and returns a logical vector which is of similar length as the first argumen

how to decode arinc 429 words and send result to pc by rs232 bus

Static stability derivatives Static stability requires that a restoring action to any motions caused by forces and moments is auto-matically produced along and about the same a

explain the funcyions and structure of foreign exchange market.


what is clampers and how many types

Synchro resolvers for low load: Both transmitter and receiver rotors are energised by the same AC supply and will induce equal and opposing voltages in the stator coils provide