Question

help please number 4

Answer 1

find the area of the shaded area

Answer 2

@agent0smith

Answer 3

@Photon336

Answer 4

please help i have no idea how to do this

Answer 5

i think you can integrate along the y axis from 0 to 3

Answer 6

oh okay so do i have to set them equal to each other?

Answer 7

thats how you can find your y points right ?

Answer 8

you don't have to, they did it for you

Answer 9

they tell you that they intersect at \((-3,3)\)

Answer 10

the one to the right is \(x=2y-y^2\) and the one to the left is \(x=y^2-4y\) subtract the second from the first

Answer 11

you got that? you actually get a nice whole number for the result

Answer 12

im confuse sorry D:

Answer 13

what is \[2y-y^2-(y^2-4y)\]?

Answer 14

that is the equation on the right minus the one on the left
if you were integrating to find the area with respect to x, i.e. along the x axis, it would be the upper minus the lower curve
but since it is with respect to y, it is the right minus the left