Express the double integral || (1+x)dA, where R is the region in the upper half-plane (i.e. y 2 0) between the circles x2+y? = 4 and x2+ y² = 9, in polar R coordinates. 2T (rcose +1) dr de TTPcose+r) dr də ST Poose+r) dr də "T (Pcose+r) dr de (Pcose+r) dr (rcose + 1) dr de

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Express the double integral || (1+x)dA, where R is the region in the upper half-plane (i.e. y 2 0) between the circles x2+ y? = 4 and x²+y? = 9, in polar
'R
coordinates.
2T
"| (rcose+1) dr de
(r?cose +r) dr de
0,
I Pcose+r) dr de
"T Pcose+r) dr də
S"I Pcose+r) dr də
(rcose + 1) dr de
2
Transcribed Image Text:Express the double integral || (1+x)dA, where R is the region in the upper half-plane (i.e. y 2 0) between the circles x2+ y? = 4 and x²+y? = 9, in polar 'R coordinates. 2T "| (rcose+1) dr de (r?cose +r) dr de 0, I Pcose+r) dr de "T Pcose+r) dr də S"I Pcose+r) dr də (rcose + 1) dr de 2
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