Find the area bounded by the curve ` y ^ 2 = 4ax`, X - axis and the lines ` x = 0 and x = a `.

Explanation

Required area
`(A) =underset(0)overset(a) inty dx`
`=underset(0)overset(a)int2sqrt(ax)dx`
`=2sqrta. [(x^(3//2))/(3//2)]`

`=2sqrta*2/3"["x^(3//2)"]"_(0)^(a)`
`=4/3sqrta (a^(3//2)-0)`
`=4/3a^(2)sq.` units.