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- Homework Statement
- Compute the integral (3x dx dy), where the region of equation is : (x − 1)^2 + y^2 ≤ 1, 0 ≤ y ≤ x

- Relevant Equations
- 0<=r<=2cos(θ),

I already have the solution in which the region of integration has been divided into two regions

but I was wondering if I can

0<r<2cos(θ) and the 0 <θ<pi/4

the total integral becomes

is my approach is correct?

Thanks a lot in advance!

but I was wondering if I can

**considering the polar coordinate system) the disk equation for me is**__only use one region__**r=2cos(θ)**and the theta goes from**0 to (pi/4)**0<r<2cos(θ) and the 0 <θ<pi/4

the total integral becomes

is my approach is correct?

Thanks a lot in advance!