Area under curve, Programming Languages

Area Under Curve

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.

Instructions to work with Open PBT Client:

  1. Specify the work directory path in the 'Work directory Path' field. The path should correspond to your solution Work directory.
  2. Download the support files by clicking the Get Support Files.
  3. You will find the problem directories containing:
    • problem.h file
    • problem.c file

in your project directory.

  1. Code the solution in.c file inside the problem directory
  2. All required files will be downloaded to your work directory. Creating additional files is strongly discouraged.

The Prototype of the Function is :

double getAreaUnderCurve (struct Term* equation, int noOfTerms, int limit1,int limit2)

  • Where equation represents number of Term in a equation with x_pow and coeff of X
  • Where noOfTerms is the number of terms in the equation
  • Where limit1 and limit2 are the 2 given points to find the area.
  • The function getAreaUnderCurve() return the area of type double corrected to 4 decimal places.(eg : 5.2704. )

Example 1

Input :


    Term equation = x + 3(x^2);     int noOfTerms = 2;     int limit1 = 4;     int limit2 = 8;
    where, struct Term* equation => { equation[0].exponent = 1; equation[0].coefficient = 1; equation[1].exponent = 2; equation[1].coefficient = 3; }

Output :


The function getAreaUnderCurve() returns 472.0.

 

Example 2

Input :


    Term[] equation = x;     int noOfTerms = 1;     int limit1 = 1;     int limit2 = 1;

Output :


The function getAreaUnderCurve() returns 0.0

Example 3

Input :


    Term equation = x;     int noOfTerms = 1;     int limit1 = 2;     int limit2 = 1;

Output :


The function getAreaUnderCurve() returns 1.5

For C solutions

Header File

:

areaundercurve.h

Function Name

:

double getAreaUnderCurve (struct Term* equation, int noOfTerms, int limit1,int limit2)

 

File Name

:

areaundercurve.c

 

For C++ solutions

Header File

:

areaundercurve.h

Class Name

:

AreaUnderCurve

Function Name

:

double getAreaUnderCurve (struct Term* equation, int noOfTerms, int limit1,int limit2)

FileName

:

areaundercurve.c

General Instructions

    *

The file / class names, functions, method signatures, header files are to be used as mentioned in the problem statement. Do not use your own names or change the method signatures and fields. You can add any number of additional methods.

    *

For C solutions, change the value of "C_OR_CPP" macro in header file as 1 and for C++ solutions change the value as 2.

    *

Incase of iostream.h specify as iostream only.

    *

Command line options for the main() function are not supported currently.

 

Posted Date: 9/2/2012 9:53:34 AM | Location : United States







Related Discussions:- Area under curve, Assignment Help, Ask Question on Area under curve, Get Answer, Expert's Help, Area under curve Discussions

Write discussion on Area under curve
Your posts are moderated
Related Questions
Objective: to show if the sizes of the clusters influence the communication cost among a set on nodes Write a K-Means  program  for a set of M points randomly distributed on an

Villa La Fourche Ltd is a small family business situated in the East Coast of Mauritius, more precisely Trou d'eau Douce.   The compound comprises of 6 independent villas, each of

Explain the Comma Operator- Computer Programming? The comma has two utilization and the most common use is as a parameter separator for data types and function parameter lists. H

W.A.S.S to display all the files in a specified directory in the following format: File  size in K        Date   Protection    Owner Program echo -e "Enter dir : \c" read di

The aims of this assignment are to:    Provide experience in the use of a modern Integrated Development Environment (specifically NetBeans running on a Linux platform) for t

1.   You have been asked to write a computer program that will figure out the total of an order when given the amount of the order ($200) and a sales tax rate of five percent.  I w

.NET Windows Services But Enthusiasm has an amazing record of beginning overdue but finding up easily. This is real in situation of .NET too. Enthusiasm put their best men at

The Maze Game from Laboratory 7 loads its maze directly in the program's code. This should be avoided as it requires the program to be recreated if the maze needs to be changed. In

Use list recursion to de ne the function mySum which takes as input an integer and a list of integers and returns the list obtained by adding every element of the list by the rst

How to build one dimensional list from string and build string from a list? Suppose input string is: STACKOVERFLOW then the output list should be outputList = [S,T,A,C,K,O,V,E,R,F