Maths in focus Chatper 3.9 ( Integration Volumes ): (1 Viewer)
- Thread starter Boonyak
- Start date
SpiralFlex
Well-Known Member
- Joined
- Dec 18, 2010
- Messages
- 6,960
- Gender
- Female
- HSC
- N/A
- Draw a pretty diagram
Finding the points of intersection,
That's your point of intersection.
About the x axis,
^4 \; dx)
^5}{5}]_{-2}^{-1})
Finding the points of intersection,
That's your point of intersection.
About the x axis,
Last edited:
nightweaver066
Well-Known Member
- Joined
- Jul 7, 2010
- Messages
- 1,585
- Gender
- Male
- HSC
- 2012
Diagram first.
First we want to find the points of intercepts.
So solving both of the equations,
^2)
^2 = 0)
(-2) = 0\;\;\;$I just did difference of two squares$)
Now splitting the region in to two so we can work with them seperately.
First rotating the blue region around the x axis:
^4 dx )
^5}{5}]^{-1}_{-2})
)
Now for the red region rotated around the x-axis:
))
Now adding these two together,
First we want to find the points of intercepts.
So solving both of the equations,
Now splitting the region in to two so we can work with them seperately.
First rotating the blue region around the x axis:
Now for the red region rotated around the x-axis:
Now adding these two together,
