anonymous
  • anonymous
Evaluate the integral by reversing the order of integration: 1 1 ∫ ∫ (x^(3))(sin(y^3))dydx 0 x^2 Please explain step by step
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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amistre64
  • amistre64
change dydx to dxdy for starters; then shift the S parts to match the direction your measureing towards
amistre64
  • amistre64
|dw:1333482825185:dw|
amistre64
  • amistre64
this is the directions we have to begin with; x from 0 to 1 y from x^2 to 1

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amistre64
  • amistre64
by switching the integration we switch the order in which we measure things; |dw:1333482960985:dw|
amistre64
  • amistre64
now, as y goes from 0 to 1; x goes from 0 to sqrt(y)
amistre64
  • amistre64
\[\int_{y=0}^{y=1}\int_{x=0}^{x=\sqrt{y}}\]
amistre64
  • amistre64
go ahead an write in the y= x= stuff in your integration symbol; that notation is for your benefit not some computers :)
anonymous
  • anonymous
thanks so much!

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