andu1854
  • andu1854
Express the given integrad as a sum of partial fractions, then evaluate the integrals...
Calculus1
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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andu1854
  • andu1854
|dw:1433022177370:dw|
anonymous
  • anonymous
|dw:1433022363982:dw|
anonymous
  • anonymous
Put the right over a common denominator of y(y+3) to get|dw:1433022470774:dw|

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andu1854
  • andu1854
4y +15 = (A+B)y +3A ?
anonymous
  • anonymous
yes
andu1854
  • andu1854
A+B = 4 3A = 15
anonymous
  • anonymous
right
andu1854
  • andu1854
A = 5 B = -1
anonymous
  • anonymous
yes
andu1854
  • andu1854
|dw:1433022664484:dw|
anonymous
  • anonymous
yes
andu1854
  • andu1854
|dw:1433022744962:dw|
anonymous
  • anonymous
do you know how to integrate that?
andu1854
  • andu1854
(5ln(1) -5ln(1/4)) + (-1ln(1+3)-(-1ln(1/4+3))
anonymous
  • anonymous
you got it :)
andu1854
  • andu1854
so this part is where I am not getting the answer correct
andu1854
  • andu1854
|dw:1433023185349:dw|
anonymous
  • anonymous
|dw:1433023356841:dw|
andu1854
  • andu1854
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.
anonymous
  • anonymous
you're welcome

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