FIND AREA UNDER CURVE, C/C++ Programming

Assignment Help:

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 be found by doing a definite integral between the two points.


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:- FIND AREA UNDER CURVE

Assignment, Develop a C++ program that uses a while to determine the gross ...

Develop a C++ program that uses a while to determine the gross pay (in Dollars) for each of several employees. The company pays “straight-time” for the first 40 hours worked by ea

C programming language, write an algorithm that reads a postive integer n a...

write an algorithm that reads a postive integer n and then finds and prints the sum of all integers between 1 and n (inclusive) that are disvisible by 7. please write this using c

Is it possible to pass an entire structure to functions, Is it possible to ...

Is it possible to pass an entire structure to functions? Yes, it's possible to pass an entire structure to a function in a call by method style. Some programmers prefer to decl

What is the conditional expression operator, The Conditional Expression Ope...

The Conditional Expression Operator An alternate method to using a simple if-else construct is the conditional expressions operator, ?:   A conditional expression operato

Explain logical operators, Logical Operators We say any expression that...

Logical Operators We say any expression that evaluates to zero is a FALSE logic condition and that evaluating to non-zero value is a TRUE condition. Logical operators are usefu

Miniumshelf, write a prgm to find minimum total number of shelves including...

write a prgm to find minimum total number of shelves including the intial one required for loading process

factorial series, 1)      Factorial (for this question just provide an a...

1)      Factorial (for this question just provide an answer for each part)  1.1  Debug the following program to calculate N! #include using namespace std; main()

Luminous Jewels - The Polishing Game, Byteland county is very famous for lu...

Byteland county is very famous for luminous jewels. Luminous jewels are used in making beautiful necklaces. A necklace consists of various luminous jewels of particular colour. Nec

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

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