Mohon bantuannya ya.

Jawab:

Penjelasan dengan langkah-langkah:

y₁ = y₂

x + 6 = x²

<=> x² – x – 6 = 0

=> (x – 3)(x + 2) = 0

x = 0 atau x = -2

Titik potongnya adalah (3, 9) dan (-2, 4).

∫ (x + 6 – x² ) dx [-2, 3]

= -(1/3) x³ + (1/2) x² + 6x [-2, 3]

= (-9 + 9/2 + 18) – (8/3 + 2 – 12)

= 27/2 – (-10/3)

= 27/2 + 10/3

= 101/6 satuan luas