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

Super ASCII String Cost, A string S is said to be "Super ASCII", if it cont...

A string S is said to be "Super ASCII", if it contains the character frequency equal to their ascii values. String will contain only lower case alphabets (''a''-''z'') and the asci

Describe what are dynamic pointers, Question: (a) Describe what are dy...

Question: (a) Describe what are dynamic pointers. Show their memory representations diagrammatically. (b) Write short notes about pointers in arrays, paying attention on

Roman code python help , In general, Roman numerals can be converted mathem...

In general, Roman numerals can be converted mathematically by simply assigning a numerical value to each letter, according to the chart below, and calculating a total: M=1000 | D=5

Compute the average of five numbers, Step 1 Define the program headers and ...

Step 1 Define the program headers and the variables      #include   #include   #include   #include void main()   {       char prompt;     float a,b,c,d,e;     floa

A Padovan string P(n) for a natural number n, c program for padovan string ...

c program for padovan string   Padovan series are positive integers obtained by the following process: The Padovan series is the sequence of integers P(n) defined by the

I want to change c++ code to python extension, I want to change C++ code to...

I want to change C++ code to Python extension Project Description: I have the C++ source code for an executable that takes a path to an image file as the input and prints tex

Poker room auto seat program, Poker Room auto seat program Project Descr...

Poker Room auto seat program Project Description: I want a script for an online poker site. It requires to be scanning all the available tables and when the table meets certa

Make qtav videoplayer simple integrateable for application, Make QtAV Video...

Make QtAV Videoplayer simple integrateable for Qt Applications Project Description: I'm preparing an application for Windows and Mac using QtCreator. I want a videoplayer

Explain the working of strcpy function, Explain the Working of strcpy Funct...

Explain the Working of strcpy Function? strcpy() : This function is meant to use to copy one string to another. The strcpy function as well accepts two strings as arguments.

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