Question

find the area of the loop y^2=x(5-x)^2

Answer 1

polar integration i believe

Answer 2

\[\int_{a_{\theta}}^{b_{\theta}} \int_{0}^{f(x)}r\ drdt\]

Answer 3

lol, i was thinking the decartes foil

Answer 4

\[y=\sqrt{x}(5-x)\]
\[y=5\sqrt{x}-x\sqrt{x}\]

\[y=5\sqrt{x}-x^{3/2}\]

Answer 5

integrate from 0 to 5 and double it

Answer 6

http://www.wolframalpha.com/input/?i=y%5E2%3Dx%285-x%29%5E2

Answer 7

ohhh... will i still get the answer?? since i am only using one function ~_~

Answer 8

since the function is reflected; or mirrored, about the axis; you will get the top area; then double that to get the total area

Answer 9

it tends to be hard to read what it is they are asking for on these; im pretty sure tho that it means the absolute area of the loop.

Answer 10

oh ok!! thanks XD