area under the curve, C/C++ Programming

Write a c++ 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: 9/1/2012 2:43:30 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
Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4

how to write c++ code for financial system using class and object

Assignment:  write a C program and a MASM procedure.  The C program calls the MASM procedure to perform letter case conversion. Text sections covered:  12.1 to 12.3.1 Write a

I. COURSE DESCRIPTION Develops a working knowledge of object-oriented concepts in areas of classes, inheritance, data structures, error handling, templates and file processing.

Study the following  class diagram, additional information  and answer  the  questions that follow: MovieTicket movieName: string TicketPrice: doub

Smugglers are becoming very smart day by day. Now they have developed a new technique of sending their messages from one smuggler to another. In their new technology, they are send

to calculate the amount to be paid by a customer buying yummy cupcakes for his birth day party

C program to demonstrate Pointer to array: void p2a(int *); void main() {                 int x=10, *a,**b;                 int arr[5];                 a=&x;//po

Define a structure to store roll no, name and marks of a student. b) Using the structure of Q2. a), above write a ''C'' program to create a file "student.dat". There must be one r

Prepare an iPad application Clash of Clans like game I would like to prepare a free city building app with the in app purchase possibility. An example game could be Clash of Cla