Answer:
(14/3)a - (3/2) units²
Step-by-step explanation:
Integrate the function
a(x^0.5) - 2(x^-2)
Add 1 to the power, divide by the new power
a(x^1.5)/1.5 - 2(x^-1)/-1
(2a/3)(x^1.5) + 2/x
Upper limit - Lower limit
[(2a/3)(4^1.5) + 2/4] - [(2a/3)(1^1.5) + 2/1]
= [16a/3 + 1/2] - [2a/3 + 2]
= 14a/3 - 3/2
= (14/3)a - (3/2) units²
