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andu1854

  • one year ago

Express the given integrad as a sum of partial fractions, then evaluate the integrals...

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  1. andu1854
    • one year ago
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    |dw:1433022177370:dw|

  2. anonymous
    • one year ago
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    |dw:1433022363982:dw|

  3. anonymous
    • one year ago
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    Put the right over a common denominator of y(y+3) to get|dw:1433022470774:dw|

  4. andu1854
    • one year ago
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    4y +15 = (A+B)y +3A ?

  5. anonymous
    • one year ago
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    yes

  6. andu1854
    • one year ago
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    A+B = 4 3A = 15

  7. anonymous
    • one year ago
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    right

  8. andu1854
    • one year ago
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    A = 5 B = -1

  9. anonymous
    • one year ago
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    yes

  10. andu1854
    • one year ago
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    |dw:1433022664484:dw|

  11. anonymous
    • one year ago
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    yes

  12. andu1854
    • one year ago
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    |dw:1433022744962:dw|

  13. anonymous
    • one year ago
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    do you know how to integrate that?

  14. andu1854
    • one year ago
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    (5ln(1) -5ln(1/4)) + (-1ln(1+3)-(-1ln(1/4+3))

  15. anonymous
    • one year ago
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    you got it :)

  16. andu1854
    • one year ago
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    so this part is where I am not getting the answer correct

  17. andu1854
    • one year ago
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    |dw:1433023185349:dw|

  18. anonymous
    • one year ago
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    |dw:1433023356841:dw|

  19. andu1854
    • one year ago
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    I think I finally figured out a short cut to this: 4ln 4 +ln (1/4+3) = 4ln4 +ln13/4 Thank you very much for all your help.

  20. anonymous
    • one year ago
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    you're welcome

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