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 =

Capital structure, how to identify the capital structure of the company?

how to identify the capital structure of the company?

Turbine engines cooling , Turbine engines cooling : Turbine engines are...

Turbine engines cooling : Turbine engines are designed to convert heat energy into mechanical energy. The combustion process is continuous and, therefore, heat is produced. On

Heat treatment of cast iron, how does a cast iron cooling curve look,effect...

how does a cast iron cooling curve look,effect of heating temp, duration also cooling rate

Casting alloys, Casting Alloys are -             (i) Permanent moulds...

Casting Alloys are -             (i) Permanent moulds are commonly used for the casting of grey iron, aluminum alloys and magnesium alloys.             (ii) Slush Casting

Propeller balance, PROPELLER BALANCE There are two types of balance of ...

PROPELLER BALANCE There are two types of balance of importance when working with propellers: • Static Balance • Dynamic Balance Static balance is checked and corrected

Solvency ratios and profitability ratios, Solvency Ratios: Profitability R...

Solvency Ratios: Profitability Ratios: The profitability ratios determine the capacity of the company to generate the profits with the amount of shareholders investment. Again hig

Help please, Judy Johnson is choosing between investing in two Treasury sec...

Judy Johnson is choosing between investing in two Treasury securities that mature in five years and have par values of $1,000. One is a Treasury note paying an annual coupon of 5.

Pneumatics, 3. Design and draw a circuit using the cascade system to operat...

3. Design and draw a circuit using the cascade system to operate two cylinders (A and B) which, on the operation of a start valve, produces the sequence A – B + B – A+. The cylinde

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