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

Luminous Jewels - The Polishing Game, Byteland county is very famous for lu...

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

What are the benefits of using friend classes, What are the benefits of usi...

What are the benefits of using friend classes? - Friend classes are useful when a class wants to hide features from users which are required only by another, tightly coupled cl

It/218.., Write a program that does the following: Calculates the Velocity ...

Write a program that does the following: Calculates the Velocity and Momentum of an object. The formula for the velocity is V=d/t and the formula Momentum is m=mass*velocity. Your

Decode the code, By pressing ‘6’ (i.e. key’6’ one time) on the keypad, the ...

By pressing ‘6’ (i.e. key’6’ one time) on the keypad, the mobile shows ‘m’ on display screen in write text message area

How do i allocate multidimensional arrays by new? , Can I free() pointers a...

Can I free() pointers allocated  along with new? Can I delete pointers allocated along with malloc()? A: No. It is completely legal, moral, and wholesome to employ malloc() a

Pebble merchant problem, Problem Description There is a pebble merchant. H...

Problem Description There is a pebble merchant. He sells the pebbles, that are used for shining the floor. His main duty is to take the length of the room’s sides. But he sometime

C program for count any characters which is u want, # include stdio.h> #...

# include stdio.h> # include string.h> # include conio.h> void main()   {           int i=0,count=0;           char a[100],b;           clrscr();

How to write a function template, How to write a function template A fu...

How to write a function template A function template should be written at the beginning of the program in the global area, or you may place it into a header file. All function

Search property from catalogue , Implement the search property from catalo...

Implement the search property from catalogue menu option.  After selecting this option the user should be asked to specify the property using the following sub-menu: 1. Specif

Define static storage class - computer programming, Define Static Storage C...

Define Static Storage Class in C Programming? The Static declarations have distinct and important uses. This allows the local variable to keep its previous value when the block

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