Question

Решите пж, Спрочно! Спаисбо

Answer 1

1) ∫₀¹ (x + 6) dx = x²/2 + 6x∣¹₀ = 1²/2 + 6*1 = 1/2 + 6 = 6.5

Ответ: 6.5.

2π

2) ∫ cos (x/6) dx = [u=x/6; du = 1/6dx => dx = 6du] =

π

2π 2π

= 6 ∫ cos u du = 6sin u = 6sin (x/6) | =

π π

= 6sin(π/3) - 6sin(π/6) = 3√3 - 3 = 3(√3 - 1)

Ответ: 3(√3 - 1).