Area under Curve, C/C++ Programming

Assignment Help:

#queWrite 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 be found by doing a definite integral between the two pointsstion..

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 Curve

C program for count sorted characters, # include stdio.h> # include coni...

# include stdio.h> # include conio.h> # include string.h> void main()   {           int i=0,j=0;           char a[100],temp;           clrscr();

Explain mixed mode expressions and implicit type conversions, Mixed Mode Ex...

Mixed Mode Expressions and Implicit type Conversions A mixed mode expression is one in which the operands are not of the similar type. In this case, the operands are converted

Padovan string, A Padovan string P(n) for a natural number n is defined as:...

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

When should i use references, A: Use references when you can use, and use p...

A: Use references when you can use, and use pointers when you have to. References are generally preferred over pointers whenever you don't require "reseating". Usually this mean

Float number, We can combine more than one variable on the same line i.e. ...

We can combine more than one variable on the same line i.e.   float number1,number2,number3; etc Sometimes we want to mix the variable types used on the same line, this could

Define statements to define the constants, the problem description. The ...

the problem description. The order of the C Program should be as follows: Variables and constants Use #define statements to define the constants. Use arr

A program that divides the screen into n vertical bars, Write a function th...

Write a function that takes in a number n and divides the screen into n vertical bars, alternating black and white. (What should you do if someone puts in n=0 or n=-99?)

Sentinel controlled loop, develop an algorithm using pseudocode for computi...

develop an algorithm using pseudocode for computing cos(x) and sin(x). use a sentinel controlled while loop. use the series definition of e^+-jx

Rules of inheritance, Rules of Inheritance: Private members are not...

Rules of Inheritance: Private members are not inherited; the members can be accessed only within its class. It cannot be used through the object. Protected members are

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