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JoãoVitorMC

  • 3 years ago

Solve the following improper improper integral:

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  1. JoãoVitorMC
    • 3 years ago
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    \[\int\limits_{0}^{\infty} \frac{ \ln x }{ x² + a² }\]

  2. JoãoVitorMC
    • 3 years ago
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    a > 0

  3. kiki41554
    • 3 years ago
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    Huh

  4. mahmit2012
    • 3 years ago
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    |dw:1350750759562:dw|

  5. kiki41554
    • 3 years ago
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    So it's -36

  6. mahmit2012
    • 3 years ago
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    |dw:1350750883133:dw|

  7. kiki41554
    • 3 years ago
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    Hello???

  8. mahmit2012
    • 3 years ago
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    |dw:1350751308660:dw|

  9. mahmit2012
    • 3 years ago
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    |dw:1350751339539:dw|

  10. mahmit2012
    • 3 years ago
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    Did you get it?

  11. JoãoVitorMC
    • 3 years ago
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    yeahh thank you so much!!

  12. mahmit2012
    • 3 years ago
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    Do you know what is a residual.

  13. mahmit2012
    • 3 years ago
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    |dw:1350751491113:dw|

  14. mahmit2012
    • 3 years ago
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    |dw:1350751564402:dw|

  15. mahmit2012
    • 3 years ago
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    because x=ai is an order one pole.

  16. mahmit2012
    • 3 years ago
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    this way is so easy, but your teacher will get confuse. Draw a contour and give my solution.

  17. JoãoVitorMC
    • 3 years ago
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    ok thank you!!

  18. JoãoVitorMC
    • 3 years ago
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    one question, i didn't understand this last part:

  19. JoãoVitorMC
    • 3 years ago
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    |dw:1350834795661:dw|

  20. JoãoVitorMC
    • 3 years ago
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    but you you did this:

  21. JoãoVitorMC
    • 3 years ago
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    |dw:1350834921089:dw| there is a 2 dividing see?

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