AREA UNDER 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 CURVE

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

What is a template in c++, Templates permit to create generic functions tha...

Templates permit to create generic functions that admit any data type as parameters and return value without having to overload the function with all the possible data types. Until

Hwid spoofer for windows 7, HWID Spoofer for Windows 7, 8 x64 Project De...

HWID Spoofer for Windows 7, 8 x64 Project Description: I want a simple program that will spoof my hardware id. I should be able to prepare the id to spoof to in the program a

Area under the curve, Write a program to find the area under the curve y = ...

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 b

Program of 2d byte array dynamicall, In this lab, please complete a given p...

In this lab, please complete a given program to perform the following tasks: 1. Allocate a 10 by 5 2D byte array dynamically. The way of allocation must be consistent with page

C program for sorting of long word with one string, C Program for SORTING O...

C Program for SORTING OF LONG WORD WITH ONE STRING #include stdio.h> #include conio.h> #include string.h> void main() {           char n[50],c[25][25];

Program for single int parameter, Write a function that has a single int pa...

Write a function that has a single int parameter n and returns an int: 0 if n is negative, otherwise 1. You are not allowed to simply check the integer value, and should use the fu

Function with unsigned char parameters, Write a function that has four uns...

Write a function that has four unsigned char parameters, combines the four one-byte integer values into an unsigned integer, and returns the unsigned integer. When the four one

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