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

Give a formal expression of the specification, A function REPAT is specifie...

A function REPAT is specified below. Function REPAT(c in Char, i in Int, s in mString) return in mString pre 1 ≤ i ≤ the length of s. post The returned value is a string identic

Write program to get largest element in array using function, Write a progr...

Write a program to get the largest element in an array using Function? # include int largest(int b[],int); main() { int lar,a[5]={12,2,36,40,5}; lar=largest(a,n); printf("

Variables within c, Within software languages we have the ability to store ...

Within software languages we have the ability to store information in mail boxes i.e. memory slots which are given names to represent the box. The naming rules are governed by the

Design a game in c, Design a game in c: const DODGERS = 0; const GI...

Design a game in c: const DODGERS = 0; const GIANTS = 1;   void main(void) {    int scoreboard [2][9];    // An array two rows by nine columns    int team, i

Gene program, Many human diseases could be controlled by the knowledge of t...

Many human diseases could be controlled by the knowledge of the gene’s structure and pattern. The human gene could be represented by four nucleotides. Each nucleotide is represente

Luminous Jewels - The Polishing Game, Byteland county is very famous for lu...

Byteland county is very famous for luminous jewels. Luminous jewels are used in making beautiful necklaces. A necklace consists of various luminous jewels of particular colour. Nec

Develop libcurl xml project, Develop libcurl XML project I have a Projec...

Develop libcurl XML project I have a Project using XML with C++. You will use things like LIbcurl etc....and a XML parser to finish the project. Developer must know how to use X

Array, Write a program to count the prime number in array

Write a program to count the prime number in array

Write a recursive function with cylinders, I need to make a fractal trees i...

I need to make a fractal trees in OpenGL C++ . The method used is to write a recursive function with cylinders of different sizes and angles to create the tree trunk and branches.

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