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 to creates a linked list of characters , Note: Please refer to the...

Note: Please refer to the Subject Outline for details regarding the assessment of the advanced assignment. The Problem You are to investigate the use of data structures an

Data structure, Project Description: Project is related indexing data re...

Project Description: Project is related indexing data related some data structure. I need to share all information related project later if i contact any body Skills required

Assignmet, I have a assignment deadline is 11.11.2015 can I get help

I have a assignment deadline is 11.11.2015 can I get help

Create a program that converts numbers to characters, People sometimes give...

People sometimes give their phone numbers using one or more alphabetic characters. Create a program that converts the alphabetic characters to their corresponding numbers. For exam

Msp, A Padovan string P(n) for a natural number n is defined as: P(0) = ‘X...

A Padovan string P(n) for a natural number n is defined as: P(0) = ‘X’ P(1) = ‘Y’ P(2) = ‘Z’ P(n) = P(n-2) + P(n-3), n>2 where + denotes string concatenation. For a string of t

Coding, Problem Statement: You have to write a C program to develop a Car P...

Problem Statement: You have to write a C program to develop a Car Parking Management System for a busy commercial area. The system will record the car plate number, date and time w

#titlethe Average Temperature in Paradise.., Writing and compiling a progra...

Writing and compiling a program from a given Use Case definition. Follow the Average Temperature in Paradise

Inheitance, ambiguity in multiple inheritance

ambiguity in multiple inheritance

C++ and matlab, ">http://www.ee.nmt.edu/~erives/289_F12/EE289_Takehome_2.p...

">http://www.ee.nmt.edu/~erives/289_F12/EE289_Takehome_2.pdf http://www.ee.nmt.edu/~erives/289_F12/Takehome2_maze.GIF

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