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

How to write an inline class member function, How to write an inline class ...

How to write an inline class member function In addition to global functions, you may request that non-static member functions of a class be inlined.  The normal method of doin

Implementation of the stack class in c++, Implementation of the Stack class...

Implementation of the Stack class in C++: How to implement stack class in c++. int Stack::push(int elem) {    if (top    {       list[top++] = elem;       r

Pointers with an array, // Basic pointer code #include "stdafx.h" #in...

// Basic pointer code #include "stdafx.h" #include iostream using namespace std; int _tmain(int argc, _TCHAR* argv[]) {             int FirstNumber, SecondNumber;

Car rental system, Car Rental System This system tracks cars in a rental co...

Car Rental System This system tracks cars in a rental company. Each car has a number (assume its plate number), type (small car, four wheel car), and status (rented, available). T

Star, how can i print any english work using star .?

how can i print any english work using star .?

Solve, solve for radius(R) of a circle of its area is to be inputted by a u...

solve for radius(R) of a circle of its area is to be inputted by a user. also display compute the circle diameter hint: area= pir21 pi=2.1416

Wap to print any name on screen 10 times, WAP TO PRINT ANY NAME ON SCREEN 1...

WAP TO PRINT ANY NAME ON SCREEN 10 TIMES void main () { int a=1; clrscr(); do { printf ("expertsmind\n"); a++; } while (a getch (); }

Tranporsition cipher, write a C program that can display the transpose form...

write a C program that can display the transpose form of a ciphertext matrix.

Determine the size of operator, The size of () operator This is a pseud...

The size of () operator This is a pseudo-operator given by the language, which returns the number of bytes taken up by a variable or data type. The value returned by this opera

Keywords in cpp, Define Keywords in C++ K e y w o r d s: ...

Define Keywords in C++ K e y w o r d s: K e y w o rd s a r e t h e w o rd s a l r e a d y u s e d b y C + + i n i t s c

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