area under the curve, C/C++ Programming

Assignment Help:

Area under the curve
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 between 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

Write procedure that compute recursive method, A function f is defined by t...

A function f is defined by the rule that f(n) = n if 0≤n≤3 and f(n) = f(n - 1) + 2f(n - 2) + 3f(n - 3) if n> 3. (a) Write a procedure that computes f by means of a recursive pro

Explain nested classes, Nested Classes Many a times, it becomes essenti...

Nested Classes Many a times, it becomes essential to have a class contain properties of two other classes. One way is to explain a class within another - that is a class with m

Array, #an array that accept input and gives an output

#an array that accept input and gives an output

Atm program, Ask quIn this assignment you will create an ATM Machine progra...

Ask quIn this assignment you will create an ATM Machine program (using C++) that allows a user to choose one of the following introduction menu items: 1) Create a bank account by

Procedure-oriented programming, E v o l u t i o n of Software: ...

E v o l u t i o n of Software: In the past stage of programming the software's were developed in Machine language Using binary numbers 1's and 0's.  Later it convert

Mathematical statements, Mathematical Statements and assignments    Wi...

Mathematical Statements and assignments    Within C we can directly load up the variable from within the program using the mathematical expression equates (=) e.g.   a= 'h'

C program, what will be the c program for ideal gas equation.

what will be the c program for ideal gas equation.

Super ascii string cost, want the codings for these topic in ur experts min...

want the codings for these topic in ur experts minds.com

Basic Programming Constructs, Write a program to print all the factors of a...

Write a program to print all the factors of a positive integer A

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