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

Creating shopping carts, how to create a shopping cart and sibmit the code ...

how to create a shopping cart and sibmit the code segment on screan

Minimumshelf, Write a program that finds the minimum total number of shelve...

Write a program that finds the minimum total number of shelves, including the initial one required for this loading process.

Skilled programmer is required to build a standalone module, A skilled prog...

A skilled programmer is required to build a standalone module to extract, parse and store in database tables, word count data from web pages and RSS feeds. The module can take R

Identify and briefly explain the objects and methods , You are to develop a...

You are to develop a Clinic System. 1. Identify and briefly explain the objects, classes, methods and attributes for the Clinic System. 2. Draw a use case diagram to represen

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

Add guts to vs 2008 c++ windows service, Add guts to VS 2008 C++ windows se...

Add guts to VS 2008 C++ windows service Project Description: I have a shell windows32 service written in 2008 VS C++. I want the functionality part started. Need someone too

Pointers, Pointers are just numbers, representing addresses in memory. You ...

Pointers are just numbers, representing addresses in memory. You can add to and subtract from pointers, for instance. It is pretty easy to make mistakes with pointer math, however,

Solution, Damjibhai and Shamjibhai are two jeweler friends. They decide to ...

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

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