Task 2

#include <iostream>
#include <stdlib.h>
#include <iomanip>
#include <cmath>

using namespace std;


double countY(double x) {
    //return (M_PI * pow(x, 3)) / 2;
    return sin(x);
    //return pow(9, x);
}

double factorial(int n)
{
    if(n > 1) {
        return n * factorial(n - 1);
    }
    else {
        return 1;
    }
}

double countS(double x, double eps, int *times) {
    double i = x;
    double a = x;
    double sum = x;
    *times = 1;
    while (fabs(i) > eps) {
        i =  pow(x, 2)/(2 * (*times) *(2 * (*times) + 1));
        //i = ((pow(-1, *times + 1) / *times) + ((pow(-1, *times) * 6) / (pow(*times, 3) * pow(M_PI, 2)))) * sin(*times) * M_PI * x;
        //i = (pow(log(9), *times) / factorial(*times)) * pow (x, *times);
        a *= -1 * i;
        sum += a;
        *times = *times + 1;
    }
    return sum;
}

int main()
{
    cout << "LR 3" << endl;

    double a = -0.5;
    double b = 0.5;
    double h = (b - a) / 10;
    double x = a;
    double e = 0.001;


    cout << "a = " << a << ", b = " << b << ", h = " << h << ", x = " << a << endl;

    cout << setw(5) << "X" << setw(15) << "Y(X)" << setw(15) << "S(X)" << setw(15) << "S times" << setw(15) << "Y times" << endl;
    while (x < (b + h) / 2) {
        int *times = new int (0);
        double s = countS(x, e, times);
        cout << fixed << setw(5) << x << setw(15) << countY(x) << setw(15) << s << setw(15) << *times << setw(15) << "1" << endl;
        x += h;
    }
    system("pause");
}