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

Pointer to an array, Write a method (belonging to the TermStructure class) ...

Write a method (belonging to the TermStructure class) that takes a pointer to an array of bonds and an integer, representing the number of bonds in the array as arguments, and esti

What is your reaction to following line of code? , Q-What is your reaction ...

Q-What is your reaction to following line of code?               delete this; A: This is not a good programming Practice. A good programmer will insist that you must absolute

Develop an auto-click bot, What I need is an auto-click bot. The auto-click...

What I need is an auto-click bot. The auto-click bot would ask me for a url(or it would be pre-defined too) so that it loads that specific url and click an ad automatically. This w

COMPILER DESIGN, aj is a newbie to the programming and while learning the p...

aj is a newbie to the programming and while learning the programming language he came to know the following rules: - Each program must start with ''{'' and end with ''}''.

Programming, hello i have about 15 hours the dead line I Need a program in...

hello i have about 15 hours the dead line I Need a program in c language that''s determine the router ip or the gateway ip of the current NIC example the router ip is: 192.168.1.1

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 concate program 1 : package test

Get all table list from current database , i am using otlv4 for database co...

i am using otlv4 for database connecttvity, while i try to get all tables list from current database using query "$SQLTables" no output is displayed though programe compiles coretl

Write a program to act as an electronic safe, Write a program to act as an ...

Write a program to act as an electronic safe. If the correct code has been entered the program should display "Safe Open".  If an incorrect code is input it should display "Alarm"

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

Need squid web proxy with ffmpeg to convert flv to h.264, Need Squid Web Pr...

Need Squid Web Proxy with ffmpeg to convert flv to h.264 Project Description: We need a squid proxy setup with the modification that will transcode FLV to h.264 in real-time,

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