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 many non-letters are included in the string, Write a fully modular C pr...

Write a fully modular C program that reads in a string of a defined size from the keyboard and reports how many times each letter of the alphabet occurs within that string (ignorin

Implement binary heap in c++?, A:BinaryHeap.h ------------ #ifndef BI...

A:BinaryHeap.h ------------ #ifndef BINARY_HEAP_H_ #define BINARY_HEAP_H_ #include "dsexceptions.h" #include "vector.h" // BinaryHeap class // CONSTRUCTION: wi

UltimateCarRadio Project, In this assignment, you will be modifying your As...

In this assignment, you will be modifying your Assign-05 code to use more inheritance. As well, in this assignment, you will be asked to use newand delete, throw and catch except

Program, Define a class polynomial with three private data members a, b and...

Define a class polynomial with three private data members a, b and c of type double to represent the coefficient of two degree polynomial(ax^2+bx+c). Include a constructor in a pol

What is a command line argument and what is its use, Question 1) What are ...

Question 1) What are the commonly used input/output functions in C? Question 2) What is the difference between function declaration and function definition? Write a recursive

Padovan string, padovan string program 1 : package test.padovanstring; ...

padovan string program 1 : package test.padovanstring; public class PadovanString {     public int stringOccurrences(int n, String str){        if(n >= 40)     return -

Virtual memory implementation, I need help with virtual memory manager impl...

I need help with virtual memory manager implementation in C

Tower of hanoi, application problem of tower of hanoi

application problem of tower of hanoi

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