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 12:58:07 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
Write a C program to input five numbers and print them out on a new line e.g 5, 10, 15, 20, 25 displayed as   5   10   15   20   25 #include stdio.h   void main()   {

What if one forget the [] when deleteing array allocated through new T[n]? A: All life comes to a disastrous end. It is the programmer's responsibility not the compiler's to

Object Initialization An object of a derived class can be initialized to an object of a base class. If both the classes have similar data members, then no specific constructor

Write a function that has an int parameter n, makes an integer mask having the bit 1 at the nth place from the rightmost bit, and returns the mask. For example, when n = 5 is passe

how do i write a c++ program that will input a number and output its factorial using the while loop

how made a flow chart of prime number by using for loop


For this program you will add and test 2 new member functions to the IntSLList class posted on the website. The two member functions are: insertByPosn(int el, int pos) Assuming t


Write a C program to calculate the output Y for a given value of X for the following formula   Y=X 2 + 2X +3   #include stdio.h   void main()   {   char promt;   float y,x