area under the curve, C/C++ Programming

Assignment Help:

Area under the curve
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 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

# Bank Account class, Write a C++ program to test the Bank Account class fo...

Write a C++ program to test the Bank Account class for 10 customers.

Write code in visual studio 2010, I have a mini project where I need to wri...

I have a mini project where I need to write a code .wonder if someone can help me.I already have the forms and webmaster page done just need to code portion

Program to create local shopping cart, Available, and the right kind of pro...

Available, and the right kind of programs. My son wants to stop using ice. He has organised detox a number of times, and is always successful. It is the next stage, rehab, where

Array, how to use nested loop of for in array

how to use nested loop of for in array

What is precedence and order of evaluation, Precedence and Order of evaluat...

Precedence and Order of evaluation The languages follow a standard precedence for basic operators. Precedence rules help in deleting ambiguity of the order of operations perfor

Big o notation, The probabilistic Hough transform uses random sampling inst...

The probabilistic Hough transform uses random sampling instead of an accumulator array. In this approach the number of random samples r, is not specified in the OpenCV call, but is

Algorithem, algorithem of compound interest

algorithem of compound interest

Input and output in c++, C++ improves on many of C's features and provides ...

C++ improves on many of C's features and provides object-oriented programming capabilities used for software production, quality and reusability. C++ was developed by Bjarne Strons

Why do c++ compilers require name mangling?, A: Name mangling is the rule a...

A: Name mangling is the rule according to which C++ modify function's name into function signature before passing that function to a linker. It is how the linker differentiates amo

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