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
Hello. I need a solution for this assignment. It is for C++ Language: Create a BusinessPartner class that contains a first name, company name, and a telephone number. Create a Con

You are to develop a Clinic System. 1. Identify and briefly explain the objects, classes, methods and attributes for the Clinic System. 2. Draw a use case diagram to represen

how is it made

algorithm to prepare mark sheet of a student by inputing name,branchcode,semester,register no,5 marks of students and total mark of student

luminous jewel polishing necklace,c/c++ programming

The task consists of two parts which are both preferably implemented in one source file. Towards the end of this document you will find a code skeleton that you must assume. Start

What is the difference between = symbol and == symbol? - The = symbol is generally used in mathematical operations. It's used to assign a value to a given variable whereas the

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.

superposition of waves

Purpose This assignment is an exercise in implementing the queue ADT using a singly-linked list. This assignment also introduces the concept of templates. Assignment Th