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-   -   Program to enter an integer and print its total value based on the formula 'x - 1/3!x^3 + 1/5!x^5 - 1/7!x^7 + 1/9!x^9' (http://bzupages.com/showthread.php?t=14542)

bonfire 28-02-2011 10:58 PM

Program to enter an integer and print its total value based on the formula 'x - 1/3!x^3 + 1/5!x^5 - 1/7!x^7 + 1/9!x^9'
 
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Program to enter an integer and print its total value based on the formula
'x - 1/3!x^3 + 1/5!x^5 - 1/7!x^7 + 1/9!x^9'

#include
#include
#include
int main()
{
clrscr();
float factorial=1;
float num,tot,term,total;
int i,n=20,index,j=1;
cout << "Enter a single-digit integer : \n";
cin>>num;
tot=num;
total=num;
for(i=2,index=3;i<=n;i++,index+=2)
{
for(j=1,factorial=1;j<=index;j++)
factorial*=j;
tot=tot*pow((double)(-1),(double)(2*i-1))*num*num;
term=tot/factorial;
total+=term;
}
cout << "Total = " << total << endl;
getch();
return 0;
}

This program takes in an integer num as a screen input from the user.
It then calculates the total value of the integer based on the formula x - 1/3!x^3 + 1/5!x^5 - 1/7!x^7 + 1/9!x^9.
It then outputs the final answer using the 'cout' command.

Sample Input
3 Sample Output
Total = 0.14112


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