Question

how to set up integral for .

Answer 1

@mukushla

Answer 2

i think we can change it to polar coordinates...

Answer 3

ok. how?

Answer 4

let me think

Answer 5

ok

Answer 6

for z i think it varies from 0 to r^2 ?
correct?

Answer 7

the problem is how to find limits for r in the cylindrical coordinates for x^2+y^2=2x

Answer 8

thats right

Answer 9

\( r= 2 \cos \theta \) is polar form of \(x^2+y^2=2x\)

Answer 10

yes

Answer 11

so it means r varies from 0 to 2cos(thetha) ?

Answer 12

are you sure theta will vary 0..2pi ?
because i have plotted this and seems little bit tilted towards the right.

Answer 13

u tell me what do u think...
i cant thinkat all....

Answer 14

it looks like from -pi/2..pi/2
right???

Answer 15

thats right

Answer 16

ok
so how to find r limits ?

Answer 17

u were right i think
r 0 ----> 2 cos theta