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(California State University, Long Beach)
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posted by  Timo112 on 7/23/2009 5:58:38 PM  |  status: Closed  |  Earned Karma: 25

integration by parts

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Question Details:
Im trying to derive the Laplace Transform of the func 5t.  I am using the Laplace integral
So the question looks like
I know were suppose to use integration by parts and that the answer should be since that is what is what the transform is on the Laplace table.  Can someone please show me step by step the process to get that answer.

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Sage
Karma Points: 4,943
( brevard community college)
posted by steb on 7/23/2009 6:03:04 PM  |  status: Live
Asker's Rating: Lifesaver   
Response Details:
Let u = 5t so du = 5 dt and dv = e-st dt so v = -(1/s)e-st 

The integral now becomes:


Now evaluate at the endpoints to get:
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