1st integral is 0 to (innermost)
2nd integral is 0 to
3rd integral is 0 to 1 (outermost)
plse help me out
having trouble inputing question hope this is clear
i am having trouble converting this rectangular triple integral to spherical integrals
1st integral is 0 to (innermost)
2nd integral is 0 to
3rd integral is 0 to 1 (outermost)
plse help me out
having trouble inputing question hope this is clear
i am having trouble converting this rectangular triple integral to spherical integrals
You need to listen to your own title!!
You are NOT using spherical coordinates!
Waring 1: Depending on which text you are using and your prof. the representation of spherical coordinates will be different here I will use
Where is the plane angle and is the angle measured from the positive z axis.
So in Spherical coordinates the integrand is
why don't we need an absolute value?
Now Sketch the region of integration and you will see the it is the top half of a sphere of radius 1.
Now to trace a sphere is radius 1
Don't forget to change the differential of volume to spherical coordinates as well.
Fixed my typo above Thanks Ackbeet
In which case you should have
The angle appearing in the variable is always the polar angle (measured down from the -axis) and the angle not appearing in is always the azimuthal angle (measured in the -plane, counter-clockwise from the -axis).
So in Spherical coordinates the integrand is
why don't we need an absolute value?
Now Sketch the region of integration and you will see the it is the top half of a sphere of radius 1.
Now to trace a sphere is radius 1
Don't forget to change the differential of volume to spherical coordinates as well.