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: 9/1/2012 11:55:42 PM | 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
how many types of loops are there and whay are they and what are its uses

A: Use std::ios::binary. Some operating systems differentiate among text and binary modes. In text mode, end-of-line sequences and perhaps other things are translated; in binary

Create the following program or propose one of your own. The program must include at least one of each of the following. Decision structure Repetitive structure fu

write a program that counts the number of occurrences of the string in the n-th Padovan string P(n)

Introduction:  This assignment requires a knowledge of variables (integers, char types), loops, conditionals, switch, functions, char arrays, string arrays, number arrays, struc

For the circuit shown in Figure, verify the p.d. across resistor R3. If the total resistance of the circuit is 100Ω, verify the current flowing by resistor R1. Find also the

c | c-c-c-c-c | c-c-C-c-c | c find distance between difftent carbon atom by programing

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

There is a pebble merchant. He sells the pebbles, that are used for shining the floor. His main duty is to take the length of the room’s sides. But he sometimes mistakes doing that