area under curve, C/C++ Programming

Assignment Help:

Write 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.

 

#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) { float base , lower, h1, h2; /* LOCAL VARIABLES */
float function_x(float x); /* prototype */
float trap_area(float h1,float h2,float base );/*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,float base ) { 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 curve

Multilevelinheritance inc++, develop a program read the following informati...

develop a program read the following information from the keyboard in which base class consist of employee name code and destingnation the derived class contain the data members th

Stack, c++ program to to implement multiple stacks using single array

c++ program to to implement multiple stacks using single array

Which one would you prefer - a macro or a function, Which one would you pre...

Which one would you prefer - a macro or a function? Actually it depends on the purpose of program! - In case of macros, corresponding code is inserted directly into your sou

Last ant on rod, There are ''''n'''' ants on a ''''n+1'''' length rod. The ...

There are ''''n'''' ants on a ''''n+1'''' length rod. The ants are numbered from 1 to n and are initially placed at positions starting from position 1 till position n. They are mov

What does odbc do in context with php, What does ODBC do in context with PH...

What does ODBC do in context with PHP? PHP supports many databases such as dBase, Microsoft SQL Server, Oracle, etc. however, it also supports databases such as filePro, FrontB

Padovan string, example of padovan string program

example of padovan string program

Write a program to calculate the average of ten numbers, Write a program to...

Write a program to calculate the average of ten numbers       #include stdio.h     /* Only this header is needed since only IO are used */     void main()     {          char

How many ways are there to initialize an int with a constant, There are two...

There are two ways for initializes in C++ as shown in the example that follows. The first way uses the traditional C notation. The second way uses constructor notation. int foo

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