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

Custom scans and alerts think or swim, Custom Scans and Alerts Think or Swi...

Custom Scans and Alerts Think or Swim Project Description: I am seeking somebody to make me several Custom Scans and Alerts on Thinkorswim TOS Skills required are C++ Prog

Program of three numbers arguments and returns the sum , Define a procedure...

Define a procedure that takes three numbers as arguments and returns the sum of the squares of the two larger numbers.

Define a procedure called make-avl-tree, This question deals with AVL trees...

This question deals with AVL trees. The representation to be used is similar to the bank account object discussed in class. (a) Define a procedure called make-avl-tree which mak

C program for string operations, Aim: To implement a program for following...

Aim: To implement a program for following string operations: Length of String. String Concatenation. Substring (provide start index and length) Find character a

[email protected], Write a program to find the area under the curve y =...

Write a program to find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. The area under a curve between two points can b

Design test program that tests the student, This is a test program that tes...

This is a test program that tests the Student and ITECH7603Class classes.     In this assignment you are provided with three input text files associated with this program:

Application for build a toy program, With this assignment you will build a ...

With this assignment you will build a toy program that manipulates pointers to integers. You will develop the same main program fragment in both C and Assembler. Thus, you'll get t

Stand-alone dsp application, You are required to write a stand-alone DSP ap...

You are required to write a stand-alone DSP application in the C programming language. The overall objective of this application is to convert a signal from the time domain to t

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

C program for bernoulli''s equation, i need a detailed c program to explain...

i need a detailed c program to explain the parameters of bernoulli''s equation..

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