Implementing Numerical Integration Using Function Pointers The problem is to write a function "integrate" with prototype: //FUNC represents functions of one variable that take a double as input and returns a double typedef double (*FUNC)(double); double integrate(FUNC f, double a, double b); so that when it is passed a function fand bounds a and b, the call: integrate(f, a,b) will return the value of the definite integral of f evaluated between a and b. test integrate on the following three functions: 1. double line(double x){ return x; { 2. double square(double x}{ return x*x; { 3. double cube(double x){ return x*x*x; { And the following main function: int main(){ cout<< "The integral of f(x)=x between 1 and 5 is: "
Implementing Numerical Integration Using Function Pointers The problem is to write a function "integrate" with prototype: //FUNC represents functions of one variable that take a double as input and returns a double typedef double (*FUNC)(double); double integrate(FUNC f, double a, double b); so that when it is passed a function fand bounds a and b, the call: integrate(f, a,b) will return the value of the definite integral of f evaluated between a and b. test integrate on the following three functions: 1. double line(double x){ return x; { 2. double square(double x}{ return x*x; { 3. double cube(double x){ return x*x*x; { And the following main function: int main(){ cout<< "The integral of f(x)=x between 1 and 5 is: "
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
Related questions
Question

Transcribed Image Text:Implementing Numerical Integration Using Function Pointers
The problem is to write a function "integrate" with prototype:
//FUNC represents functions of one variable that take a double as input and returns a double
typedef double (*FUNC)(double);
double integrate(FUNC f, double a, double b);
so that when it is passed a function f and bounds a and b, the call:
integrate(f, a,b) will return the value of the definite integral of f evaluated between a and b.
test integrate on the following three functions:
1. double line(double x){
return x;
{
2. double square(double x}{
return x*x;
{
3. double cube(double x){
return x*x*x;
And the following main function:
int main(){
cout<< "The integral of f(x)=x between 1 and 5 is: "<<integrate(line, 1, 5)<<endl;
cout<< "The integral of f(x)=x^2 between 1 and 5 is: "<<integrate(square, 1, 5)<<endl;
cout<< "The integral of f(x)=x^3 between 1 and 5 is: "<<integrate(cube, 1, 5)<<endl;
}
How does integrate work?
Inside a loop we sum up the area of rectangles with a small base (say .0001) and height f(x) for
each x between a and b in increments of .0001.
When the loop terminates, we return the value of the sum.
The purpose if this assignment is to see (and implement) a very simple application of function
pointers.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.Recommended textbooks for you

Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education

Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON

Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON

Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education

Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON

Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON

C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON

Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning

Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education