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

Optimize and profile a c++ library for speed, Optimize and Profile a C++ li...

Optimize and Profile a C++ library for speed Project Description:  Optimize and Profile an existing C++ library for speed. This library uses OpenMP and OpenCV and C++ stan

Problem : Change to palindrome, A palindrome is a string that reads the sam...

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

Big M method, I Want a answer for solving the big M method in the topic of ...

I Want a answer for solving the big M method in the topic of simplex method...

KRPano, I am seeking an expert to create a 360 degree virtual tour in KRPan...

I am seeking an expert to create a 360 degree virtual tour in KRPano for use on PCs, tablets and smartphones. You will be given with panoramas in order to create an advanced KRPano

Logic, to calculate the amount to be paid by a customer buying yummy cupcak...

to calculate the amount to be paid by a customer buying yummy cupcakes for his birth day party

Decode the code, Smugglers are becoming very smart day by day. Now they hav...

Smugglers are becoming very smart day by day. Now they have developed a new technique of sending their messages from one smuggler to another. In their new technology, they are send

File Input and Output, Given a bool variable isReadable write some statem...

Given a bool variable isReadable write some statements that assign true to isReadable if the file "topsecret" exists and can be read by the program and assigns false to isR

C++ age guessing game, Write a program that predicts users’ age (0-128 year...

Write a program that predicts users’ age (0-128 years old) with at most 7 questions. The game starts with asking the user whether he/she is younger or older than G (an initial gues

Program simulate a metropolitan subway train, You're going to simulate a me...

You're going to simulate a metropolitan subway train.  The train system will start out at Station #1, or Home  Station, and will service multiple stations along its route.

Write function that take array as argument, Write a function that takes an ...

Write a function that takes an array as the argument and returns the second largest element. Bonus (+5): Write a function that takes an array and a number n as arguments and return

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