area under the curve, C/C++ Programming

Assignment Help:

program area under the curve y=f(x) between x=a & y=b, integrate y=f(x) between the limits of a & b

 

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


Related Discussions:- area under the curve

Define enumeration in computer programming, Define Enumeration in Computer ...

Define Enumeration in Computer Programming? Enumerated types enclose a list of constants that are able to be addressed in integer values. We can declare variables and types

Need a solution, Hello. I need a solution for this assignment. It is for C+...

Hello. I need a solution for this assignment. It is for C++ Language: Create a BusinessPartner class that contains a first name, company name, and a telephone number. Create a Con

Differentiate between the expression ++a and a++, Differentiate between the...

Differentiate between the expression "++a" and "a++"? - With ++a, increment happens first on variable a, and resulting value is used. This is known as prefix increment. - Wi

C programs, accept principal amount,rate of interest, & duration from the u...

accept principal amount,rate of interest, & duration from the user. display interest amount and total amount

I need website with built in scraper, I need Website with built in scraper ...

I need Website with built in scraper Project Description: The coding skills mentioned above are just possibly ones that will be used. Skills required are ASP, C++ Programm

I want auto-rank script, Project Description: I play this game called mo...

Project Description: I play this game called mobstar (mobstar) and I would like the program to grade my account for me. It would require doing a crime, GTA, jail busting, lead a

Structure, Write a function that calculates the number of elapsed days betw...

Write a function that calculates the number of elapsed days between two dates. For example the days between Feb 3, 1970 and June 21, 1980? Becareful for the Leap year

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd