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

#padovan string, program that counts the number of occurrences of the strin...

program that counts the number of occurrences of the string in the n-th padovan string p(n)

Boolean functions and simple logic design, The digital signal is one which ...

The digital signal is one which only consists of two states i.e. logic '1'   (+5 volts) and logic '0' (0 volts). Various electronic blocks use logic and these form the basis of a m

Flow chart, flow chart for prime or not

flow chart for prime or not

C program for function of merge , C Program for FUNCTION OF MERGE #inc...

C Program for FUNCTION OF MERGE #include conio.h> #include stdio.h> char cot(char a[],char b[]); void main() {           char a[50],b[50];           clrscr()

Decodethecode, how to decode the numerals to string..

how to decode the numerals to string..

Define the category of function - computer programming, Define the Category...

Define the Category of Function? A function, depending on whether arguments or parameters are present or not and whether a value returned or not, may belong to one of the foll

Define bit fields, Define Bit Fields Bit Fields permits the packing of ...

Define Bit Fields Bit Fields permits the packing of data in a structure. This is particularly useful when memory or data storage is at a premium. Usual examples: Packing

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