calculus area help

Question

Find the area between the curves   

f(x)=x2  

and ​ g(x) = ax. ​ (Assume a​ > 0)

​(Hint: Your answer will be in terms of​ a.)

The area is

enter your response here.

Answer 1

x² = ax; x = 0 or x = a > 0

Area A = ∫₀^a(ax - x²)dx = (ax²/2 - x³/3)₀^a = a³/2 - a³/3 = a³/6

Answer 2

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