math9

import math

f = lambda x: 1/x

a = -2
b = -1
n = 10

s = 0
h = (b - a) / n
x = a
for i in range(n + 1):
    print("x = {0}, y = {1}".format(round(x, 4), round(f(x), 4)))
    s += f(x)
    x += h

Sn = h * (s - f(b))
Si = h * (s - f(a))
print("Sнед = {0}*({1}) = {2}, Sизб = {0}*({3}) = {4}".format(round(h, 4), round(s - f(b), 4), round(Sn, 4), round(s - f(a), 4), round(Si, 4)))
St = h * (s - f(a) - f(b) + (f(a) + f(b)) / 2)
print("Sтрап = {0}".format(round(St, 4)))

s1 = 0
s2 = 0
x = a + h
for i in range(1, n):
    if (i % 2 == 0):
        s2 += f(x)
    else:
        s1 += f(x)
    x += h

Ss = (b - a) / (3 * n) * (f(a) + f(b) + 4 * s1 + 2 * s2)
print("{0}({1}+{2}+4({3})+2({4}) = {0}({5}+{6}+{7}) = {0}*{8} = {9}".format(round((b - a) / (3 * n), 4), round(f(a), 4), round(f(b), 4), round(s1, 4), round(s2, 4), round(f(a) + f(b), 4), round(4 * s1, 4), round(2 * s2, 4), round(f(a) + f(b) + 4 * s1 + 2 * s2, 4), round(Ss, 4)))