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.


    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 2:09:43 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
A palindrome is a string that reads the same from the both the ends. Given a string S convert it to a palindrome by doing character replacement. Your takes is to convert S to palin

Q:  Tells the operators one can override; which operators should he override? A: Bottom line: don't puzzle your users. Remember the reason of operator overloading: to decreas

Private derivation If no specific derivation is listed, then a private derivation is supposed. If a new class is derived privately from its parent class, then: The priva

#question:-program to counts tha no of occurances of the string in the nth padovan string

if age of ram,shayam and ajay are input through keyboard,write a program to determine the youngest of the three.

In this assignment the main has been written for you in the file phone_book_main.cpp. You will also notice that a class called Person has been declared as having several prototypes

Automatic Variables Automatic variables are variable which are explained within the functions. They lose their value when the function terminates. It can be accessed only in th

can you help with the assignment, I don''t want to upload the assignment but want somebody to work with, do you do that?

write a program that would accept the radius of the sphere and return its surface area.

Define Scope Rules of C program - Computer Programming? The fundamental rule of scope is that identifiers are accessible only within the block in which they are declared and th