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Question
Find the area bounded by the curve y2 = 4ax, x-axis and the lines x = 0 and x = a.
Solution
Area bounded = `int_0^aydx`
`=int_0^asqrt(4ax)dx`
`=2sqrtaint_0^ax^(1/2)dx`
`=2sqrta[(x^(1/2+1))/(1/2+1)]_0^a`
`=2sqrtaxx2/3xxa^(3/2)`
`=4/3a^(1/2+3/2)`
`=4/3a^2`
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