Use polar coordinates to find the integral: - dA where Ris the region that lies between the two circles 2 + y? =1 and 2 + y? = 4 + y? R 2² Hint: just do the integral in polar coordinates. Don't forget that dA = r dr d0. Of course, use æ = r cos 0, y = r sin 0, and g2 + y? = r2.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Use polar coordinates to find the integral:
- dA where Ris the region that lies between the two circles 2 + y? =1 and 2 + y? = 4
+ y?
R 2²
Hint: just do the integral in polar coordinates. Don't forget that dA = r dr d0. Of course, use æ = r cos 0, y = r sin 0, and g2 + y? = r2.
Transcribed Image Text:Use polar coordinates to find the integral: - dA where Ris the region that lies between the two circles 2 + y? =1 and 2 + y? = 4 + y? R 2² Hint: just do the integral in polar coordinates. Don't forget that dA = r dr d0. Of course, use æ = r cos 0, y = r sin 0, and g2 + y? = r2.
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