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

Algorithms, algorithm to find out all the factors of given positive integer...

algorithm to find out all the factors of given positive integers

First line starts with T, Byteland county is very famous for luminous jewe...

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

Convert coordinate - c++ program, Convert coordinate: class rect{  ...

Convert coordinate: class rect{                 private :                 float  x,y;                   public :                 void  input()

Boardcoloring, In this problem you are given a board in which some of the e...

In this problem you are given a board in which some of the elements are placed as shown in diagram below. Each element represents a color. Fill the other elements in the board, suc

Write a program that reads a line of characters, Write a program that reads...

Write a program that reads a line of characters from the user and displays that entire line after converting any uppercase characters to lowercase also change any lowercase charact

Class and object, write a class player that contain attributes for the play...

write a class player that contain attributes for the player,s name,average and team

Compiler design-limit the methods, Problem : Compiler Design - Limit the me...

Problem : Compiler Design - Limit the methods Rahul is a newbie to the programming and while learning the programming language he came to know the following rules: ·

Write short note on c++, Introduction to C++ C++ was developed by Bjarn...

Introduction to C++ C++ was developed by Bjarne Stroustrup at Bell Laboratories in 1983. Originally, it was known as " C with class". C+ as an enhancement to the C language was

Smuggler, smugglers are becoming very smart day by day. Now they have devel...

smugglers are becoming very smart day by day. Now they have developed a new technique of sending their messages from one smuggler to another. In their new technology, they are send

Question, wap to calculatethe volume of cone,cylinderand sphere

wap to calculatethe volume of cone,cylinderand sphere

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