credmond
  • credmond
Calculate the double integral ∫ ∫ (2x+10y+20) dA where R is the region 0<=x<=5, 0<=y<=1
Mathematics
schrodinger
  • schrodinger
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Loser66
  • Loser66
Where are you stuck?
credmond
  • credmond
|dw:1443489034160:dw|
credmond
  • credmond
Did I set this up right?

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Loser66
  • Loser66
Yes, let me make it clearer \[\int_0^1\int_0^5( 2x+10y+20)dxdy\]
Loser66
  • Loser66
and you are correct, go ahead.
credmond
  • credmond
Okay so from here, I plug in 1 and 0 into the equation, right?
Loser66
  • Loser66
Not yet, you must replace the limits in, then take second integral
Loser66
  • Loser66
|dw:1443489600801:dw|
credmond
  • credmond
Oh, okay!
credmond
  • credmond
Soooo is it
credmond
  • credmond
|dw:1443490041700:dw|
Loser66
  • Loser66
|dw:1443490129263:dw|
Loser66
  • Loser66
ok? it is dy, not dx. you had done with dx
credmond
  • credmond
Oh right! Whoops!
credmond
  • credmond
So then, from here, solve with 1 & 0?
Loser66
  • Loser66
Take integral first.
credmond
  • credmond
OOOOOH. I get this now.
Loser66
  • Loser66
good, show your result, please
credmond
  • credmond
Is it 150?

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