Name: Calculus - Derivatives and Integrals
By: Steven Cherry
Description: This program simply prompts the user to do either a derivative or an integral. It asks then for coefficients and exponents, and finally prints the result.
By: Steven Cherry
Description: This program simply prompts the user to do either a derivative or an integral. It asks then for coefficients and exponents, and finally prints the result.
As you can see in the first screenshot below, I entered first 1 for derivative, 3 for three coefficients, and three values of the coefficients and exponents of the expression. Then, the whole expression that I have entered will appear, and finally, the derivative of the expression.
In the second screenshot below, I entered first 2 for integral, 3 for three coefficients, and three values of the coefficients and exponents of the expression. Then, the whole expression that I have entered will appear, and finally, the integral of the expression.
//Below are the Codes of the Program:
#include <iostream.h>
#include <math.h>
#include <string.h>
#include <cstring.h>
// some global variables to help save space - we'll be using these a lot.
// coeff = coefficient
double coeff1;
double coeff2;
double coeff3;
double exponent1;
double exponent2;
double exponent3;
// derivatives!
void fun_derivative()
{
string num_coeff;
while (num_coeff != "4") // keep user in this menu until they leave.
{
// I love these menus.
cout << "\n\n**********************"
<< "\n\n*DERIVATIVES*"
<< "\n\nMonomial or polynomial?"
<< "\n 1. 1 coefficient"
<< "\n 2. 2 coefficients"
<< "\n 3. 3 coefficients"
<< "\n 4. Return to previous screen"
<< "\n\nEnter choice: ";
cin >> num_coeff;
if (num_coeff == "1")
{
cout << "\n\nEnter value of coefficient: ";
cin >> coeff1;
cout << "\nEnter value of exponent: ";
cin >> exponent1;
// here we're just showing what they entered and what the new
// derivative is.
// formula: f(x) = x^r --> f'(x) = rx^(r-1)
cout << "\n\nYou entered: "
<< coeff1 << "x^" << exponent1
<< "\n\nYour new derivative is: "
<< exponent1 * coeff1 << "x^" << exponent1 - 1 << endl;
}
else if (num_coeff == "2")
{
cout << "\n\nEnter value of coefficient 1: ";
cin >> coeff1;
cout << "\nEnter value of exponent 1: ";
cin >> exponent1;
cout << "\n\nEnter value of coefficient 2: ";
cin >> coeff2;
cout << "\nEnter value of exponent 2: ";
cin >> exponent2;
// same as above, just twice as long!
cout << "\n\nYou entered: "
<< coeff1 << "x^" << exponent1 << " + "
<< coeff2 << "x^" << exponent2
<< "\n\nYour new derivative is: "
<< exponent1 * coeff1 << "x^" << exponent1 - 1 << " + "
<< exponent2 * coeff2 << "x^" << exponent2 - 1 << endl;
}
else if (num_coeff == "3")
{
cout << "\n\nEnter value of coefficient 1: ";
cin >> coeff1;
cout << "\nEnter value of exponent 1: ";
cin >> exponent1;
cout << "\n\nEnter value of coefficient 2: ";
cin >> coeff2;
cout << "\nEnter value of exponent 2: ";
cin >> exponent2;
cout << "\n\nEnter value of coefficient 3: ";
cin >> coeff3;
cout << "\nEnter value of exponent 3: ";
cin >> exponent3;
// same again, 3x the length. See why global variables are good?
cout << "\n\nYou entered: "
<< coeff1 << "x^" << exponent1 << " + "
<< coeff2 << "x^" << exponent2 << " + "
<< coeff3 << "x^" << exponent3
<< "\n\nYour new derivative is: "
<< exponent1 * coeff1 << "x^" << exponent1 - 1 << " + "
<< exponent2 * coeff2 << "x^" << exponent2 - 1 << " + "
<< exponent3 * coeff3 << "x^" << exponent3 - 1 << endl;
}
}
return;
}
// integrals!!
void fun_integral()
{
string num_coeff2;
cout.precision(10);
while (num_coeff2 != "4")// keep user in this menu until they leave.
{
cout << "\n\n**********************"
<< "\n\n*INTEGRALS*"
<< "\n\nMonomial or polynomial?"
<< "\n 1. 1 coefficient"
<< "\n 2. 2 coefficients"
<< "\n 3. 3 coefficients"
<< "\n 4. Return to previous screen"
<< "\n\nEnter choice: ";
cin >> num_coeff2;
if (num_coeff2 == "1")
{
cout << "\n\nEnter value of coefficient: ";
cin >> coeff1;
cout << "\nEnter value of exponent: ";
cin >> exponent1;
// here we're showing the user what they entered,
// and then the resulting integration of that.
// formula: x^n dx = x^(n+1) / (n+1) + C
// if they enter -1 as n, it won't give an error, but
// they ought to know it's incorrect.
cout << "\n\nYou entered: "
<< coeff1 << "x^" << exponent1
<< "\n\nYour new integral is: ("
<< coeff1 << "/" << exponent1 + 1
<< ")x^" << exponent1 + 1 << endl;
}
else if (num_coeff2 == "2")
{
cout << "\n\nEnter value of coefficient 1: ";
cin >> coeff1;
cout << "\nEnter value of exponent 1: ";
cin >> exponent1;
cout << "\n\nEnter value of coefficient 2: ";
cin >> coeff2;
cout << "\nEnter value of exponent 2: ";
cin >> exponent2;
cout << "\n\nYou entered: "
<< coeff1 << "x^" << exponent1 << " + "
<< coeff2 << "x^" << exponent2
<< "\n\nYour new integral is: ("
<< coeff1 << "/" << exponent1 + 1
<< ")x^" << exponent1 + 1 << " + ("
<< coeff2 << "/" << exponent2 + 1
<< ")x^" << exponent2 + 1 << endl;
}
else if (num_coeff2 == "3")
{
cout << "\n\nEnter value of coefficient 1: ";
cin >> coeff1;
cout << "\nEnter value of exponent 1: ";
cin >> exponent1;
cout << "\n\nEnter value of coefficient 2: ";
cin >> coeff2;
cout << "\nEnter value of exponent 2: ";
cin >> exponent2;
cout << "\n\nEnter value of coefficient 3: ";
cin >> coeff3;
cout << "\nEnter value of exponent 3: ";
cin >> exponent3;
cout << "\n\nYou entered: "
<< coeff1 << "x^" << exponent1 << " + "
<< coeff2 << "x^" << exponent2 << " + "
<< coeff3 << "x^" << exponent3
<< "\n\nYour new integral is: ("
<< coeff1 << "/" << exponent1 + 1
<< ")x^" << exponent1 + 1 << " + ("
<< coeff2 << "/" << exponent2 + 1
<< ")x^" << exponent2 + 1 << " + ("
<< coeff3 << "/" << exponent3 + 1
<< ")x^" << exponent3 + 1 << endl;
}
}
return;
}
int main()
{
string menu_choice;
while (menu_choice != "4")// keep user in this menu until they leave.
{
cout << "\n\n**********************"
<< "\n\n 1. Derivative"
<< "\n 2. Integral"
<< "\n 3. Not used yet"
<< "\n 4. Exit"
<< "\n\nEnter choice: ";
cin >> menu_choice;
if (menu_choice == "1")
{
fun_derivative();
}
else if (menu_choice == "2")
{
fun_integral();
}
}
return 0;
}
#include <math.h>
#include <string.h>
#include <cstring.h>
// some global variables to help save space - we'll be using these a lot.
// coeff = coefficient
double coeff1;
double coeff2;
double coeff3;
double exponent1;
double exponent2;
double exponent3;
// derivatives!
void fun_derivative()
{
string num_coeff;
while (num_coeff != "4") // keep user in this menu until they leave.
{
// I love these menus.
cout << "\n\n**********************"
<< "\n\n*DERIVATIVES*"
<< "\n\nMonomial or polynomial?"
<< "\n 1. 1 coefficient"
<< "\n 2. 2 coefficients"
<< "\n 3. 3 coefficients"
<< "\n 4. Return to previous screen"
<< "\n\nEnter choice: ";
cin >> num_coeff;
if (num_coeff == "1")
{
cout << "\n\nEnter value of coefficient: ";
cin >> coeff1;
cout << "\nEnter value of exponent: ";
cin >> exponent1;
// here we're just showing what they entered and what the new
// derivative is.
// formula: f(x) = x^r --> f'(x) = rx^(r-1)
cout << "\n\nYou entered: "
<< coeff1 << "x^" << exponent1
<< "\n\nYour new derivative is: "
<< exponent1 * coeff1 << "x^" << exponent1 - 1 << endl;
}
else if (num_coeff == "2")
{
cout << "\n\nEnter value of coefficient 1: ";
cin >> coeff1;
cout << "\nEnter value of exponent 1: ";
cin >> exponent1;
cout << "\n\nEnter value of coefficient 2: ";
cin >> coeff2;
cout << "\nEnter value of exponent 2: ";
cin >> exponent2;
// same as above, just twice as long!
cout << "\n\nYou entered: "
<< coeff1 << "x^" << exponent1 << " + "
<< coeff2 << "x^" << exponent2
<< "\n\nYour new derivative is: "
<< exponent1 * coeff1 << "x^" << exponent1 - 1 << " + "
<< exponent2 * coeff2 << "x^" << exponent2 - 1 << endl;
}
else if (num_coeff == "3")
{
cout << "\n\nEnter value of coefficient 1: ";
cin >> coeff1;
cout << "\nEnter value of exponent 1: ";
cin >> exponent1;
cout << "\n\nEnter value of coefficient 2: ";
cin >> coeff2;
cout << "\nEnter value of exponent 2: ";
cin >> exponent2;
cout << "\n\nEnter value of coefficient 3: ";
cin >> coeff3;
cout << "\nEnter value of exponent 3: ";
cin >> exponent3;
// same again, 3x the length. See why global variables are good?
cout << "\n\nYou entered: "
<< coeff1 << "x^" << exponent1 << " + "
<< coeff2 << "x^" << exponent2 << " + "
<< coeff3 << "x^" << exponent3
<< "\n\nYour new derivative is: "
<< exponent1 * coeff1 << "x^" << exponent1 - 1 << " + "
<< exponent2 * coeff2 << "x^" << exponent2 - 1 << " + "
<< exponent3 * coeff3 << "x^" << exponent3 - 1 << endl;
}
}
return;
}
// integrals!!
void fun_integral()
{
string num_coeff2;
cout.precision(10);
while (num_coeff2 != "4")// keep user in this menu until they leave.
{
cout << "\n\n**********************"
<< "\n\n*INTEGRALS*"
<< "\n\nMonomial or polynomial?"
<< "\n 1. 1 coefficient"
<< "\n 2. 2 coefficients"
<< "\n 3. 3 coefficients"
<< "\n 4. Return to previous screen"
<< "\n\nEnter choice: ";
cin >> num_coeff2;
if (num_coeff2 == "1")
{
cout << "\n\nEnter value of coefficient: ";
cin >> coeff1;
cout << "\nEnter value of exponent: ";
cin >> exponent1;
// here we're showing the user what they entered,
// and then the resulting integration of that.
// formula: x^n dx = x^(n+1) / (n+1) + C
// if they enter -1 as n, it won't give an error, but
// they ought to know it's incorrect.
cout << "\n\nYou entered: "
<< coeff1 << "x^" << exponent1
<< "\n\nYour new integral is: ("
<< coeff1 << "/" << exponent1 + 1
<< ")x^" << exponent1 + 1 << endl;
}
else if (num_coeff2 == "2")
{
cout << "\n\nEnter value of coefficient 1: ";
cin >> coeff1;
cout << "\nEnter value of exponent 1: ";
cin >> exponent1;
cout << "\n\nEnter value of coefficient 2: ";
cin >> coeff2;
cout << "\nEnter value of exponent 2: ";
cin >> exponent2;
cout << "\n\nYou entered: "
<< coeff1 << "x^" << exponent1 << " + "
<< coeff2 << "x^" << exponent2
<< "\n\nYour new integral is: ("
<< coeff1 << "/" << exponent1 + 1
<< ")x^" << exponent1 + 1 << " + ("
<< coeff2 << "/" << exponent2 + 1
<< ")x^" << exponent2 + 1 << endl;
}
else if (num_coeff2 == "3")
{
cout << "\n\nEnter value of coefficient 1: ";
cin >> coeff1;
cout << "\nEnter value of exponent 1: ";
cin >> exponent1;
cout << "\n\nEnter value of coefficient 2: ";
cin >> coeff2;
cout << "\nEnter value of exponent 2: ";
cin >> exponent2;
cout << "\n\nEnter value of coefficient 3: ";
cin >> coeff3;
cout << "\nEnter value of exponent 3: ";
cin >> exponent3;
cout << "\n\nYou entered: "
<< coeff1 << "x^" << exponent1 << " + "
<< coeff2 << "x^" << exponent2 << " + "
<< coeff3 << "x^" << exponent3
<< "\n\nYour new integral is: ("
<< coeff1 << "/" << exponent1 + 1
<< ")x^" << exponent1 + 1 << " + ("
<< coeff2 << "/" << exponent2 + 1
<< ")x^" << exponent2 + 1 << " + ("
<< coeff3 << "/" << exponent3 + 1
<< ")x^" << exponent3 + 1 << endl;
}
}
return;
}
int main()
{
string menu_choice;
while (menu_choice != "4")// keep user in this menu until they leave.
{
cout << "\n\n**********************"
<< "\n\n 1. Derivative"
<< "\n 2. Integral"
<< "\n 3. Not used yet"
<< "\n 4. Exit"
<< "\n\nEnter choice: ";
cin >> menu_choice;
if (menu_choice == "1")
{
fun_derivative();
}
else if (menu_choice == "2")
{
fun_integral();
}
}
return 0;
}
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