area under curve , C/C++ Programming

Assignment Help:

c-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

 

#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

Coding Arena A B C D E F G, Damjibhai and Sham...

Damjibhai and Shamjibhai are two jeweler friends. They decide to play a simple game. The game comprises of removing the jewels for polishing, turn by turn. Once a jewel is removed

Explain increment and decrement operators, Increment and Decrement Operator...

Increment and Decrement Operators.   The operator for increment is '++' and decrement is '-'. These operators enhances or decrease the value of a variable on which they are ope

Write a program for calculating value of an integer, Write a Program for Ca...

Write a Program for Calculating Value of an Integer? For a clear understanding of recursive function we shall see an illustration for calculating value of an integer. main() {

Fill an array of randomly generated integers, The task consists of two part...

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

Files, redirection in c++

redirection in c++

Basic Programming Constructs, Write a program to print all the factors of a...

Write a program to print all the factors of a positive integer A

How can define an array, Q: How can Define an Array? An Array is define...

Q: How can Define an Array? An Array is defined in much the alike manner as ordinary variables except that every array name must be accompanied by a size specification (that is

Create a mathematical number guessing game, Create a mathematical number gu...

Create a mathematical number guessing game. Have the user prompt for the number of games that they want to play. Then each game consists of the following rules. a. The computer

Advanced error checking and structures, It is standard on functions to prov...

It is standard on functions to provide some indication that the function has succeeded in its operation. Consider the Scanf function:     scanf("%d",&number1);   If the functio

AREAS, Write a program to find the area under the curve y = f(x) between x ...

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

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