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

Program for design and simulate a basic risc processor, Overall Program Obj...

Overall Program Objective: You will design and simulate a basic RISC processor.   You will create and encode an instruction set.  Your final task will be to "compile" a program

About, How can I learn all programming languages.?

How can I learn all programming languages.?

Develop diablo 2 lod 1.13d dupe method for closed battle.net, Develop Diabl...

Develop Diablo 2 LOD 1.13d Dupe Method for Closed Battle.net This hack is for diablo 2 lord of destruction The program must work on all realms, all cores, all ladders (4x rea

Explain multiple inheritance with a common base, Multiple inheritance with ...

Multiple inheritance with a common base (Hybrid Inheritance) Inheritance is an important and powerful feature of OOP. Only the imagination of the person concerned is the limit.

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

What should one throw?, A: C++, unlike only about every other language with...

A: C++, unlike only about every other language with exceptions, is extremely accomodating while it comes to what you can throw. Actually, you can throw anything you akin to. That b

Simple generic version of method isequalto, Write a simple generic version ...

Write a simple generic version of method isEqualTo that compares its two arguments with the equals method and returns true if they are equal and false otherwise. Use this generic m

Design a car management system application, 1) Database: The database nee...

1) Database: The database needs to be used for persistent storage of cars. For details of what information should be stored in the database, please see the description above. You

Padovan string, A Padovan string P(n) for a natural number n is defined as:...

A Padovan string P(n) for a natural number n is defined as: P(0) = ‘X’ P(1) = ‘Y’ P(2) = ‘Z’ P(n) = P(n-2) + P(n-3), n>2

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