area under the curve, C/C++ Programming

Assignment Help:

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


Related Discussions:- area under the curve

What are literals, Literals (Constants) Constants are data storage loca...

Literals (Constants) Constants are data storage locations whose address is not accessible for the user. Their value is not altered during the course of the program. Literal

C/c++ program, luminous jewel polishing necklace,c/c++ programming

luminous jewel polishing necklace,c/c++ programming

Write a program to sort an array of strings, Write a program to sort an arr...

Write a program to sort an array of strings. Use new and delete operators. Write a program to find the factorial of a number using recursion. If we do not accept the number

Palindrome, A palindrome is a string that reads the same from both the ends...

A palindrome is a string that reads the same from both the ends. Given a string S convert it to a palindrome by doing character replacement. Your task is to convert S to palindrome

Is there any difficulty with the following : char*a=null; , Is there any di...

Is there any difficulty with the following : char*a=NULL; char& p = *a;? A: The result is indeterminate. You must never do this. A reference has to always refer to some object.

Should my constructors employ"assignment"or"initialization, Should my const...

Should my constructors employ "assignment" or "initialization lists"?

What is the real function of class - to export data, What is the real funct...

What is the real function of class - to export data? No, Real purpose of a class isn't to export data. Instead, it's to provide services. Class provides a way to abstract behav

Molecular dynamics and Monte carlo, Molecular dynamics for a Lennard-Jones ...

Molecular dynamics for a Lennard-Jones system (in C++) 1. Write a function which reads in the input variables of a molecular dynamics simulation of a Lennard-Jones system. The inpu

C program to find vowels and remove vowels , C Program to FIND VOWELS AND R...

C Program to FIND VOWELS AND REMOVE VOWELS void main() {           char s[100],s1[100];           int i,j,k=0;           clrscr();           printf("ENTER ANY S

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd