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

C program to calculate area of cube, Aim: To implement program to calculat...

Aim: To implement program to calculate area of cube using inline function. Code: inline void area_cube(float side) {             float area;             are

Briefly describe how a linear search algorithm works, Question 1: (a) D...

Question 1: (a) Describe the following objects and condition states: (i) ifstream and ofstream objects (ii) eof(), fail(), bad() and good() functions. (b) Write a C++ pr

Palindrome, A palindrome is a string that reads the same from both the ends...

A palindrome is a string that reads the same from both the ends. Given a string S convert it to a palindrome by doing character replacement. Your task is to convert S to palindrome

C program to check prime numbers , C Program to check PRIME NUMBERS   ...

C Program to check PRIME NUMBERS   main() {           int i,k,r,flag;           clrscr();           printf("ENTER THE NO. TO CHECK IT IS PRIME OR NOT: ");

Heating and thermodynamic, i want software to calculate heating or use ther...

i want software to calculate heating or use thermodynamic equation , pleas help me

Described assignment operator?, Default assignment operator mange assigning...

Default assignment operator mange assigning one object to another object of the same class. It is member to member copy as shallow copy.

Define external static storage class - computer programming, Define Externa...

Define External Static Storage Class - Computer Programming? An external static is declared outside of all the functions and is obtainable to all functions in that program. The

C program for maximum no, C Program for MAXIMUM NO, MINIMUM NO AND SORTING ...

C Program for MAXIMUM NO, MINIMUM NO AND SORTING   void main() {           int i,j,t;           int a[5];           clrscr();           for(i=0;i

Explain syntax rules for writing a destructor function, Syntax rules for wr...

Syntax rules for writing a destructor function Its name is the similar as that of the class to which it belongs, except that the first character of the name is the symbol t

Explain polymorphism, Polymorphism C++ supports this idea - that differ...

Polymorphism C++ supports this idea - that different objects do "the right thing "- by function polymorphism and class polymorphism. Poly means many, while morph means form.

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