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.


    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 2:09:43 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 concept of a string in C is difficult, because a string is a collection of characters stored in memory terminated by a NULL string i.e. \0. Let us consider the string Hello. Th

For your class to work properly, you'll need to define appropriate constructors, extract and insert operators, and of course arithmetic operators. (If you wanted to use it as a gen

A:BinaryHeap.h ------------ #ifndef BINARY_HEAP_H_ #define BINARY_HEAP_H_ #include "dsexceptions.h" #include "vector.h" // BinaryHeap class // CONSTRUCTION: wi

A more advanced data type is the structure; here we can define a template as a collection of different variables e.g.     struct birthdate   {     int month;     int day;

Develop a program to meet the following requirements: 1. Must use at least one function in addition to main (you can use more) 2. Must use selection 3. Must use deference/indire

C Program for STRING ADDRESS #include stdio.h> #include conio.h> #include string.h> void main() {           char *name;           int length;           cha

Write a program called plus that will display asterisks in the shape of a plus sign which has the height and width specified by the user. You must only allow entry of an odd numb

Write a program reading a fi le (like HistoryOfProgramming) and divide the text into a sequence of words (word=sequence of letters). Save the result in a new

what are objects or simply define objects