c++, 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:- c++

Explain type casting, Type Casting Implicit type conversions, as allowe...

Type Casting Implicit type conversions, as allowed by the language, can lead to errors creeping in the program if care is not taken. Thus, explicit type conversions may be used

Program for memory optimization of c / opencl code, Program for Memory Opti...

Program for Memory Optimization of C / OpenCL Code Project Description: This is possibly a very simple project for someone with an excellent knowledge of C and OpenCL. That,

Explain the polymorphism in object-oriented programming, Problem: (a) ...

Problem: (a) A GUI can contain text-fields, buttons, and other labels. A button usually triggers an event on the GUI. Explain the different processes in registering an event

Program that will recursively prompt for input from the user, BACKGROUND: F...

BACKGROUND: FILE SYSTEMS  In a computer, a file system (sometimes written filesystem) is the way in which files are named and where they are placed logically for storage and ret

What is a conversion constructor c++, A constructor that accepts one argume...

A constructor that accepts one argument of a dissimilar type.

What is virtual class and friend class, Friend classes are used when two or...

Friend classes are used when two or more classes are designed to work together and require access to each other's execution in ways that the rest of the world shouldn't be permitte

Program to calculate pie, This problem familiarizes you with using random n...

This problem familiarizes you with using random numbers in C++. The program is to compute a good approximation of π using a simulation method called "Monte Carlo". The following fi

Program, Byteland county is very famous for luminous jewels. Luminous jewel...

Byteland county is very famous for luminous jewels. Luminous jewels are used in making beautiful necklaces. A necklace consists of various luminous jewels of particular colour. Nec

Program to sort a range of numbers with insertion, Program to sort a range ...

Program to sort a range of numbers with Insertion: /* define variable */ const int max=29000; int list[max]; FILE *fp; clock_t start,end; char any1[8];

Html, world wide web

world wide web

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