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 2:19:12 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
What's a six-letter word that has an e as its first, third, and fifth letter? Can you find an anagram of pine grave. Or how about a word that starts and ends with ant (other than a

Build a program that calculates a discount for items based on quantity bought each item is $99.99 Ask user to enter the quantity of the items Get the quantity of items from the u

#include stdio.h> #include conio.h> #include string.h> void main() {           int i=0,j=0,k=0,l=0;           int a[3][3],temp[3][3];           clrscr();

A: C++, unlike only about every other language with exceptions, is extremely accomodating while it comes to what you can throw. Actually, you can throw anything you akin to. That b

how to write c code to solve assignment problem?

Is it possible to pass an entire structure to functions? Yes, it's possible to pass an entire structure to a function in a call by method style. Some programmers prefer to decl

Program for calculate average of total marks: #include using namespace std; void print(int marks_arr[],int cnt) { int ind[cnt]; int i=0; int j=0; int k=0;


PROCEDUAL PROGRAMMING INTRODUCTION

At a shop of marbles, packs of marbles are prepared. Packets are named A, B, C, D, E …….. All packets are kept in a VERTICAL SHELF in random order. Any numbers of packets with thes