Question

Помогите пожалуйста решить с объяснением. Спасибо).

Answer 1

Ответ:

1. 64/3

2. 1/6

3. 1/3

4. 3/8

Пошаговое объяснение:

1. S = int(x²)

x = [0; 4]

S = 4³/3 = 64/3

2. S = int(-x²+x) = -int(x²)+int(x)

x = [0; 1]

int(x²) = 1/3

int(x) = 1/2

S = -(1/3)+(1/2) = 1/6

3. S = int(cos(x))

x = [0; π/6]

int(cos(x)) = sin(π/6) - sin(0) = 1/2

S = 1/2

4. S = int(1/x³)

x = [1; 2]

int(1/x³) = -(1/2*2²)+(1/2*1²) = -(1/8)+(1/2) = 3/8

S = 3/8