Fiind the area bounded by the parabola y^2 = 8x, the x axis and the line x=2

Answer 1

I think the answer is 2.25V.

Answer 2

a = ∫[0,2] √(8x) dx
= √8 (2/3 x^3/2) [0,2]
= 2√8/3 (2√2)
= 16/3

a = ∫[0,4] 2-y^2/8 dy
= 4y - y^3/24 [0,2]
= 8 - 64/24
= 16/3