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

Looping, For Loop with inner loop

For Loop with inner loop

Circular linked list assignment, need an expert programmer to finish coding...

need an expert programmer to finish coding the requirements from the assignment withen 4 hrs

What is inheritance, What is inheritance? Class, the vehicle, which is ...

What is inheritance? Class, the vehicle, which is used to execute object-oriented concepts in C++, has given a new dimension to this idea of reusability. Many vendors now offer

C program to allocate memory dynamically for 2-d array, Aim: To implement ...

Aim: To implement a program to allocate memory dynamically for 2 dimensional array (accept and print matrix) using pointers. Code:                       #include #inc

Program, c | c-c-c-c-c | c-c-C-c-c | ...

c | c-c-c-c-c | c-c-C-c-c | c find distance between difftent carbon atom by programing

#title.faculty attendance system, how to create database of faculty databas...

how to create database of faculty database......... send me with program

Hungarian notation, describe how identifiers of different data type are def...

describe how identifiers of different data type are defined using this notaion?

How does free know the size of memory to be deleted.?, How does free know t...

How does free know the size of memory to be deleted.? int *i = (int *)malloc(12); followed by free(i); how did free function call know how much of memory to delete? A: It bas

Input data analysis, Create a class Word, representing a word. Two words sh...

Create a class Word, representing a word. Two words should be considered equal if they consist of the same sequence of letters and we consider upper case and lower case as equal. F

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