5. Use polar coordinates to find /e* dA where R is the region enclosed by the circles r = 1 and r = 2, centered at the origin.

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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**Problem 5:**

Use polar coordinates to find the integral 

\[
\int \int_R e^{-x^2-y^2} \, dA
\]

where \( R \) is the region enclosed by the circles \( r = 1 \) and \( r = 2 \), centered at the origin.
Transcribed Image Text:**Problem 5:** Use polar coordinates to find the integral \[ \int \int_R e^{-x^2-y^2} \, dA \] where \( R \) is the region enclosed by the circles \( r = 1 \) and \( r = 2 \), centered at the origin.
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