Write a program to find the area under the curve y =, Other Engineering

Assignment Help:

#questiWrite 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.
on..

 

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:- Write a program to find the area under the curve y =

Environmental engineering, compare conventional lagoon,aerated lagoon and a...

compare conventional lagoon,aerated lagoon and activated sludge process,including process flow diagrams and hydraulic retention timesquestion #Minimum 100 words accepted#

Aircraft maintance, Explain different types of intakes of aircraft

Explain different types of intakes of aircraft

Chemical engineering, A steel cylinder 10 cm in diameter and 10 cm long is ...

A steel cylinder 10 cm in diameter and 10 cm long is initially at 300 0C. it is immersed in an oil bath which is maintained at 40 0C, with h= 280 W/m2. 0C. Find the temperature at

Cro, types of blocking osicillators

types of blocking osicillators

Logic gate-or gate , logic gate-OR gate  Figure shows the symbol that r...

logic gate-OR gate  Figure shows the symbol that represents a 2 input OR gate together with its truth table. This gate will adopt a 1 state at its output terminal when either

What is crossover rate?, What is crossover rate? They are produced by tw...

What is crossover rate? They are produced by two different but identical tasks. The cross-over amount is the points at which the two tasks obtain the same net provide value. Wit

Feathering the propeller, Feathering the propeller: If there is an engi...

Feathering the propeller: If there is an engine failure in flight, the propeller would windmill creating drag and increasing any damage that had occurred in the engine. Feathe

Transistors, Transistors: The transistor can be a high or low resistanc...

Transistors: The transistor can be a high or low resistance device, hence the name, which is derived from TRANSfer resISTOR.  It is used in many switching and amplifier circ

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