AREA UNDER CURVE, C/C++ Programming

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

Posted Date: 9/2/2012 2:17:28 AM | Location : United States







Related Discussions:- AREA UNDER CURVE, Assignment Help, Ask Question on AREA UNDER CURVE, Get Answer, Expert's Help, AREA UNDER CURVE Discussions

Write discussion on AREA UNDER CURVE
Your posts are moderated
Related Questions
The procedure +, * and list take arbitrary numbers of arguments. One way to define such a procedure is to use define with dotted-tail notation. In a procedure definition, a paramet


A palindrome is a string that reads the same from both the ends. Given a string S convert it to a palindrome by doing character replacement. Your task is to convert S to palindrome


What is the purpose of return values? Can you not return any values from a function? If you could what would he function look like?

Problem : Change to palindrome A palindrome is a string that reads the same from both the ends. Given a string S convert it to a palindrome by doing character replacement. Your ta

Prepare data from fixed OCR areas scanned. Project Description: Project is to design software which can use character recognition only on certain areas of scanned pdf's/ jpeg

how to see inbox details of a particular email adress on console

Q-What is your reaction to following line of code?               delete this; A: This is not a good programming Practice. A good programmer will insist that you must absolute

manupulates operator precidence