Calculate the integral: I = ∫∫R (x + 2y) dxdy where the region R is defined as: R = { (x, y) ∈ R2 : 0 ≤ x ≤ 2, min (x2, x) ≤ y ≤ max (x2, x) } i) Sketch the region R. ii) Perform the integration.

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Calculate the integral:

     I =  ∫∫R (x + 2y) dxdy

where the region R is defined as:

     R = { (x, y) ∈ R2 : 0 ≤ x ≤ 2,  min (x2, x)  ≤ y ≤  max (x2, x) }

i) Sketch the region R.

ii) Perform the integration.

R%3D {(1, у) € R?: 0 <1$2, min (z?, х) <у < max(2?, п)}
Transcribed Image Text:R%3D {(1, у) € R?: 0 <1$2, min (z?, х) <у < max(2?, п)}
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