Question

Carilah hasil dari
a.
b.
c.
d.

Answer 1

Verified answer

Integral tertentu

1.
₀⁴ ∫ √x dx = ₀⁴∫ x¹/² dx =  ²/₃ [ x³/²]⁴₀
= 2/3 (4³/² - 0³/²)
= 2/3 ( 8)
= 16/3

2. ₁³∫ 5 - x dx  = [5x - 1/2 x²}³₁
= 5(3-1) - 1/2(3²-1²)
= 5(2) - 1/2(9-1)
= 10 - 4
= 6

3. ₀⁸∫ x² - 1 dx = [1/3 x³ - x]⁸₀
= 1/3(8³-0³)  - (3-0)
= 1/3(512) - 3
= (512 -9)/3 = 503/3 = 167 ²/₃

4.
ₐᵇ∫ dx/x²  = ₐᵇ∫x⁻² dx = - [1/x]ᵇᵃ
=   - (1/b - 1/a)
= - (a-b)/(ab)