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

C++ and matlab, ">http://www.ee.nmt.edu/~erives/289_F12/EE289_Takehome_2.p...

">http://www.ee.nmt.edu/~erives/289_F12/EE289_Takehome_2.pdf http://www.ee.nmt.edu/~erives/289_F12/Takehome2_maze.GIF

What should one throw?, A: C++, unlike only about every other language with...

A: C++, unlike only about every other language with exceptions, is extremely accomodating while it comes to what you can throw. Actually, you can throw anything you akin to. That b

Circle queue, countSpaceAvailbility function that counts and returns the sp...

countSpaceAvailbility function that counts and returns the space availability in the circle queue there are two elemnts at the circle queue and should return 5 space if size 7 .

Minimum shelf, At a shop of marbles, packs of marbles are prepared. Packets...

At a shop of marbles, packs of marbles are prepared. Packets are named A, B, C, D, E …….. All packets are kept in a VERTICAL SHELF in random order. Any numbers of packets with thes

Destructor , How can I handle a destructor that fails? Need help please pro...

How can I handle a destructor that fails? Need help please provide example also.

Explain static class members, Static Class Members As we already know a...

Static Class Members As we already know all the objects of the class have dissimilar data members but invoke the similar member functions. Though, there is an exception to this

What is the main advantage to using a data file, Problem: (a) What is ...

Problem: (a) What is the main advantage to using a data file? (b) What is meant by opening a data file? How is this accomplished? Illustrate your answer clearly with a sui

Create a program of several prototypes for functions, In this assignment th...

In this assignment the main has been written for you in the file phone_book_main.cpp. You will also notice that a class called Person has been declared as having several prototypes

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