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Wislar

  • 2 years ago

\[\int\limits_{0}^{1}\int\limits_{\tan^{-1} }^{\frac{ \pi }{ 4 }}f(x,y)dydx\] Sketch the region of integration and change the order of integration

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  1. TuringTest
    • 2 years ago
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    tan^{-1} of what?

  2. Wislar
    • 2 years ago
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    I believe the sketch is: |dw:1352988818223:dw|

  3. Wislar
    • 2 years ago
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    Of x

  4. TuringTest
    • 2 years ago
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    oops, I drew tan for some reason

  5. UnkleRhaukus
    • 2 years ago
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    i think your drawing is alright @Wislar

  6. Wislar
    • 2 years ago
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    Thanks! Does anyone know how I would change the bounds of integration?

  7. Zarkon
    • 2 years ago
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    yes

  8. Zarkon
    • 2 years ago
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    your drawings are not correct

  9. UnkleRhaukus
    • 2 years ago
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    hmm,

  10. experimentX
    • 2 years ago
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    |dw:1352989559150:dw| i guess

  11. Zarkon
    • 2 years ago
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    that is correct..though the original is dydx

  12. Wislar
    • 2 years ago
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    Thank you!!

  13. Zarkon
    • 2 years ago
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    well almost correct

  14. Wislar
    • 2 years ago
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    Would the top bound be tan(x) or arctan(x)?

  15. Zarkon
    • 2 years ago
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    tan(y)

  16. Zarkon
    • 2 years ago
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    \[\int\limits_{0}^{\pi/4}\int\limits_{0}^{\tan(y)}f(x,y)dxdy\]

  17. Wislar
    • 2 years ago
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    Thanks guys!

  18. UnkleRhaukus
    • 2 years ago
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    |dw:1352990163798:dw|

  19. UnkleRhaukus
    • 2 years ago
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    |dw:1352990292057:dw|

  20. UnkleRhaukus
    • 2 years ago
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    |dw:1352990788326:dw|

  21. Wislar
    • 2 years ago
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    Thank you!

  22. UnkleRhaukus
    • 2 years ago
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    like Zarkon said

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