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++

Decodethecode, decode smugglers are very smart in day by day

decode smugglers are very smart in day by day

ARRAY, A PROGRAM TO CALCULATE AREA OF TRIANGLE

A PROGRAM TO CALCULATE AREA OF TRIANGLE

COMPUTER, THEORY OF COMPUTER PROGRAMMING

THEORY OF COMPUTER PROGRAMMING

Minimization and karnaugh maps, There are formal ways of reducing Boolean e...

There are formal ways of reducing Boolean expressions in order to minimize the logic circuit. The two elementary ways of minimization are using Boolean expressions/De Morgan Theore

Explain about the constants in c language, Explain about the Constants in c...

Explain about the Constants in c language? The Constants in C refer to fixed values that don't change during the execution of a program. C has four fundamental types of constan

String, palindrome is a string that reads the same from both the ends. Give...

palindrome is a string that reads the same from both the ends. Given a string S convert it to a palindrome by doing character replacement. Your task is to convert S to palindromes

#c++, There is a pebble merchant. He sells the pebbles, that are used for s...

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 sometimes mistakes doing that

What is union, What is Union? Intimately associated with the structure ...

What is Union? Intimately associated with the structure is the union which as well contains multiple members. Unlike a structure but the members of a union share the same stora

Variables within c, Within software languages we have the ability to store ...

Within software languages we have the ability to store information in mail boxes i.e. memory slots which are given names to represent the box. The naming rules are governed by the

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