find area under curve, C/C++ Programming

Assignment Help:

write a c program to find the area under the curve4 f=(x) between x=a and x=l integrate y=(x) between the limits of a and 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:- find area under curve

Describe faster ++i or i++, A: The answer to this lies actually, how they u...

A: The answer to this lies actually, how they used. Along ++i(PreIncrement) the variable is incremented and new value is returned. Thus it needs one instruction to increment the va

Big M method, I Want a answer for solving the big M method in the topic of ...

I Want a answer for solving the big M method in the topic of simplex method...

Standard template library , The STL details are described in many places on...

The STL details are described in many places online (see the CS377 webpage for some links), and there's a very quick introduction in Section A.14. Here are just a few additional no

Sdsds, Given an integer n and a permutation of numbers 1, 2 ... , n-1, n wr...

Given an integer n and a permutation of numbers 1, 2 ... , n-1, n write a program to print the permutation that lexicographically precedes the given input permutation. If the given

Program, Byteland county is very famous for luminous jewels. Luminous jewel...

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

#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 the c

PLS URGENT HELP WITH C++, Pls i only need help with program 2. #include ...

Pls i only need help with program 2. #include #include using namespace std; int main() { int FilingStatus; cout cout cout cout cout cout

Function, #q•Design and code a new function that accepts as parameters the ...

#q•Design and code a new function that accepts as parameters the gross pay by value and the federal tax, state tax, local tax, SS tax, and net Pay by reference. Calculate the taxes

The Polishing Game, Byteland county is very famous for luminous jewels. Lum...

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

Program to create a query from database, Implement (a part of) electronic e...

Implement (a part of) electronic election Scenario where following political parties are participating in election: PPP, PML and PTI.  Create a class PollingStation where it stor

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