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

Program to draw a circle - c program, Program to draw a circle: int ma...

Program to draw a circle: int main(void) {    /* request auto detection */    int gdriver = DETECT, gmode, errorcode;    int midx, midy;    int radius = 100;

Sort war - Sorting algorithms, If quicksort is so quick, why bother with an...

If quicksort is so quick, why bother with anything else? If bubble sort is so bad, why even mention it? For that matter, why are there so many sorting algorithms? Your mission (sho

When is a template a better solution than a base class, When you are design...

When you are designing a generic class to have or otherwise manage objects of other types, when the format and behavior of those other types are unimportant to their containment or

Decode the code, Smugglers are becoming very smart day by day. Now they hav...

Smugglers are becoming very smart day by day. Now they have developed a new technique of sending their messages from one smuggler to another. In their new technology, they are send

Assignment, Write a program that computes the cost of a long distance call....

Write a program that computes the cost of a long distance call. The cost of the call is determined according to the following rate schedules. a. A call made between 8:00 AM and

Area under curve, Write a program to find the area under the curve y = f(x)...

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.

Program to store family members details, Program to store family members de...

Program to store family members details in C++: #include #include #include struct record {   char name[30];   int age;   char state[40]; }x; //cal

E^x, Write a program to calculate e^x using the formula: e^x = 1 + x/1! + ...

Write a program to calculate e^x using the formula: e^x = 1 + x/1! + x^2/2! + x^3/3! + ...... Allow the user to enter the integer number x, then do the calculation in a loop (for

But operator overloading makes class look ugly; isn''t it , Q: But operator...

Q: But operator overloading makes class look ugly; isn't it assumed to make my code clearer? A: Operator overloading makes life simpler for the users of a class, not for develop

Explain about the constants in c language, Explain about the Constants in c...

Explain about the Constants in c language? The Constants in C refer to fixed values that don't change during the execution of a program. C has four fundamental types of constan

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