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

STM32F103RET6, traffic light t junction I have 21 LEDs will 6 in each side...

traffic light t junction I have 21 LEDs will 6 in each side 3 for the cars the other 3 will be for the people across the street this will be for each side and the last 3 for show

Bulk listing posting for a site like ebay, Project Description: I posted...

Project Description: I posted listings on a site that is like eBay but for video games. I post the similar listing many times daily, but need something that will let me post

Explain input output function, Input Output Most languages have "statem...

Input Output Most languages have "statements" to perform I/O . Though in C and C++ we use "functions" to perform I/O. C++ also has its own I/O mechanism - the cin and cout obje

Linear iterative process, (a) Write a recursive procedure (digits n) that c...

(a) Write a recursive procedure (digits n) that computes the number of digits in the integer n using a linear recursive process. For example, (digits 42) should return 2 and (digit

Project of result management system in c language, how we write decision ta...

how we write decision tables, flowcharts,pseudocode,and algorithm in result management system

Binary search tree is constructed by repeatedly, Assume that a Binary Searc...

Assume that a Binary Search Tree is constructed by repeatedly inserting exact values in to the tree. Argue that the number of nodes examined in searching for a value in the tree is

User-defined data type, Explain  U s e r - D e f i n e d D a t a...

Explain  U s e r - D e f i n e d D a t a T y p es? C has Union and Structure as user-defined data types.  C++ has class which looks like structure with a

#padovan string in c , #padovan string in java   program in java /...

#padovan string in java   program in java // aakash , suraj , prem sasi kumar kamaraj college program 1 : package test.padovanstring; public class PadovanStrin

Explain the ways of initializing the arrays, Various ways of initializing t...

Various ways of initializing the Arrays. - The for loop initializes 10 elements with the value of their index.      void main()     {                 const in

Develop a complex app, Project Description: I would like to be building ...

Project Description: I would like to be building regarding a complex mobile application build as we require the signing of an NDA. My firm in based in Montreal Canada and we are

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