Subiectul al III-lea, 2. b)

b) ∫₁ᵉ (f(x)/x³) dx = ∫₁ᵉ (1/x) dx + ∫₁ᵉ (−1/x)′ ln x dx = [ln x]₁ᵉ − [(ln x)/x]₁ᵉ + ∫₁ᵉ (1/x²) dx = - 3p = 1 − 1/e − [1/x]₁ᵉ = 2 − 2/e = 2(1 − 1/e) - 2p