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

Program, fine the class bankAccount to implement the basic properties of a ...

fine the class bankAccount to implement the basic properties of a bank account. An object of this class should store the following data: Account holder''s name (string), account nu

What are user defined data types, Q: What are User Defined data types? ...

Q: What are User Defined data types? C supports an extraordinary feature known as "type definition" that permits users to define an identifier that would represent an existing

Molecular dynamics and Monte carlo, Molecular dynamics for a Lennard-Jones ...

Molecular dynamics for a Lennard-Jones system (in C++) 1. Write a function which reads in the input variables of a molecular dynamics simulation of a Lennard-Jones system. The inpu

I need decompile library(.dll or .so) into source code, I need Decompile Li...

I need Decompile Library(.DLL or .SO) into source code Project Description: I am seeking an experienced programmer or anyone who knows a thing or two about reverse engineerin

Develop a complex app, Project Description: I would like to be building ...

Project Description: I would like to be building regarding a complex mobile application build as we require the signing of an NDA. My firm in based in Montreal Canada and we are

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

Write a program to calculate the timetable, Write a program to calculate th...

Write a program to calculate the timetable for numbers 1 -> 10 and display them as follows. Your solution should use for do loops      #include stdio.h void main() {    char p

Describe faster ++i or i++, A: The answer to this lies actually, how they u...

A: The answer to this lies actually, how they used. Along ++i(PreIncrement) the variable is incremented and new value is returned. Thus it needs one instruction to increment the va

Solve system of linear equations-gaussian elimination , Write a C function ...

Write a C function to solve the system of linear equations A x = y where A is an N by N matrix in the format of pointer-to-pointers and y is a vector in the format of a pointer. Th

Arrays within a class, A r r a y s w i t h i n a c l a s s:...

A r r a y s w i t h i n a c l a s s: I t i s j u s t d ecl a r i n g o r c on s t ru c ti n g a d e r i v e d t

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