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

Random question, Ask question #write statement that assign random integer t...

Ask question #write statement that assign random integer to the varaible n in the (100

Define nested class? why can it be useful?, it is a class enclosed in the s...

it is a class enclosed in the scope of another class. For illustration: // Example: Nested class // class OuterClass { class NestedClass { // ... }; // .

Inline functions, Inline functions, C++ provides inline functions to help r...

Inline functions, C++ provides inline functions to help reduce function_call overhead especially for small functions. The qualifier inline before function's return type in the f

C++ Assignment Help me , Write a c++ program that contain the following fun...

Write a c++ program that contain the following functions : 1) Function Quality_Point that takes one int argument (student_average) and return ‘A’ if the student_average between 90-

What does extern mean in a function declaration in c++, It tells the compil...

It tells the compiler that a variable or a function exists, even if the compiler hasn't yet seen it in the file presently being compiled. This variable or function may be distinct

Algorithme, algorithm to find whether a given number is prime number or not...

algorithm to find whether a given number is prime number or not? using pseudo code and flowchart

Draw a circle in c program , Draw a circle in c program: void main() ...

Draw a circle in c program: void main() { clrscr(); int i,r=50,t,j,x,y; int gd,gm; gd =DETECT; initgraph(&gd,&gm,""); for(x=50;x for(y=50;y {   i

Mini Search Engine, How do I create two functions: one to put a collection ...

How do I create two functions: one to put a collection of criteria into normal form, and one to compute the score of a document. A collection of criteria will be represented using

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