Aniq integral va Nyuton–Leybnis formulasi
Javoblar ota-onalar va o‘qituvchilar uchun.
1
∫₀² (3x² − 2x + 1) dx ni hisoblang.
6
2
y = 4x − x³ (0 ≤ x ≤ 2) grafigi va Ox o‘qi bilan chegaralangan shakl yuzini toping.
4
3
∫₀^(π/4) cos 2x dx ni hisoblang.
(1/2) sin 2x|₀^(π/4) = 1/2.
4
∫₁⁹ (1/√x) dx ni hisoblang.
4
5
∫₀³ f dx = 5 va ∫₃⁷ f dx = −2 bo‘lsa, ∫₀⁷ f dx va ∫₇³ f dx ni toping.
Additivlik: 5 + (−2) = 3. ∫₇³ f dx = −∫₃⁷ f dx = 2.