areaundercurve.c, 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 betw

 

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 2:04:21 AM | Location : United States







Related Discussions:- areaundercurve.c, Assignment Help, Ask Question on areaundercurve.c, Get Answer, Expert's Help, areaundercurve.c Discussions

Write discussion on areaundercurve.c
Your posts are moderated
Related Questions
wap to print padovan string in c


program that decodes sending smuggler''s string

A Padovan string P(n) for a natural number n is defined as: P(0) = ‘X’ P(1) = ‘Y’ P(2) = ‘Z’ P(n) = P(n-2) + P(n-3), n>2 where + denotes string concatenation.

write a c program to find the area under the curve4 f=(x) between x=a and x=l integrate y=(x) between the limits of a and b Solution: #include float    start_point,

Define the Float Data Type of c Language? The float is used to define floating point numbers. The Floating point numbers are stored in 32 bits with 6 digits of precision. Eg

what is a variable

Default Arguments A default argument is a value that is automatically assigned to a formal variable, if the actual argument from the function call is omitted. e.g. void

Classify computer system according to capacity. How they are different from computers according to the classification of technology. Provide comparative study also.