area under the 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: 9/3/2012 1:07:26 AM | Location : United States







Related Discussions:- area under the curve, Assignment Help, Ask Question on area under the curve, Get Answer, Expert's Help, area under the curve Discussions

Write discussion on area under the curve
Your posts are moderated
Related Questions
Spider webs have two types of silk, sticky silk and strength silk, spiders do not move on the sticky silken threads only on the strength threads. Assume one type of spider creates

Question A bank normally updates it's clients accounts at the end of each month.Of the two types of bank accounts:savings and checking, a client must maintain a minimum balance

defining software crisis As the technology changes rapidly the requirement for the users' change, to part the growing demand of the user for trade,  business, and personal


Program of function overloading: class vector{                 private :                 int v[3];                   public:                 /*friend istream &

I want Packet capture analysis Project Description: Need assistance in debugging some packet capture Skills required is C Programming

#questioA Padovan string P(n) for a natural number n is defined as: P(0) = ‘X’ P(1) = ‘Y’ P(2) = ‘Z’ P(n) = P(n-2) + P(n-3), n>2 where + denotes string concatenation. For a str

find the occurence of zy in the final string


implement two stacks in one array A[1...n] in such a way that neither stack overflows unless the total number of elements in both stacks together is n. For this you need to produce