Question

How would you work this out?​

Answer 1

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