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

Explain register variable, Explain Register Variable Computers have int...

Explain Register Variable Computers have internal registers, which are used to keep data temporarily, before any operation can be performed. Intermediate results of the calcula

Write a Programme that computes the price of portfolio, write a programme t...

write a programme that computes the price of shares and options. do the options in one-period binomial model.

Expression and their types in cpp, E x p r e s sion and their types: ...

E x p r e s sion and their types: An expression will be in form of mathematical expression with C++ syntax embedded with it. Expressions are of following types which m

Stack, c++ program to to implement multiple stacks using single array

c++ program to to implement multiple stacks using single array

Program that calculates bowling scores, Homework – Chapter 5 – Bowling Scor...

Homework – Chapter 5 – Bowling Scores 33. Write a complete C++ program to do the following: The main program reads in and prints three bowling scores, score1, score2, and score

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,

.Change to palindrome, A palindrome is a string that reads the same from bo...

A 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 palindrome

Define passing structure to a function, Define Passing Structure to a Funct...

Define Passing Structure to a Function? A structure is able to be passed as a function argument identical to any other variable. If we are merely interested in one member of a

Plugging the memory leak, Problem #1: plugging the memory leak. When you em...

Problem #1: plugging the memory leak. When you employ the "normal" new operator, for example Foo* p = new Foo(), the compiler generates some special code to manage the case while t

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