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

Operation on string - c ++ program, Operation on String - C ++ Program: ...

Operation on String - C ++ Program: Write a program to define operations on string in c++. class String {    char *char_ptr;   // pointer to string contents    int le

Describe run-time type identification, The ability to verify at run time th...

The ability to verify at run time the type of an object by using the typed operator or the dynamic_cast operator.

Calculate the area of circle using c program, Calculate the area of circle ...

Calculate the area of circle using c program: const float Pi = 3.1415926;   inline float area(const float r) {return Pi * r * r;}   main() {    float radius;

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

Create three classes program in cpp, In this worksheet you are asked to wri...

In this worksheet you are asked to write three classes in C++: Lecture class, Course class and University class. The classes relate to each other in the way that a Course has many

Explain the macros, Explain the Macros? Preprocessor' is a translation ...

Explain the Macros? Preprocessor' is a translation stage that is applied to your source code before the compiler proper gets its hands on it. Usually the preprocessor performs

Explain the changing field width, Changing Field width The printf() and...

Changing Field width The printf() and scanf() functions from the standard library, use width specifier for controlling the width of its output . Similarly, the ostream class al

COMPILER DESIGN, Compiler Design - Limit In The Method Instructions

Compiler Design - Limit In The Method Instructions

Palindrome, Problem : Change to palindrome A palindrome is a string that r...

Problem : Change to palindrome 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 ta

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