Question

Find the area bounded by a^2y=x^3,the x-axis and the line x=2a

Answer 1

umm... is integral area under the line...?
i honestly forget, standby...
@terenzreignz

Answer 2

its a topic related to uses of antiderivatives

Answer 3

its above the line

Answer 4

\[Area =\int\limits_{a}^{b}(y)dx\]

Answer 5

this is the only thing i know

Answer 6

i can't sketch it . i dont even know which area it is referring to

Answer 7

x = 2a
so a = x/2
so equation is (x/2)^2y = x^3 ...yeah?

Answer 8

yeah

Answer 9

a is just a constant, right? :D

Answer 10

yes

Answer 11

the answer it shows at the back of my textbook is 4a^2 units^2

Answer 12

So... this basically ensures that a^2 is positive. Well then, let's sketch that bloody graph XD
\[\Large y = \frac{x^3}{a^2}\]