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integration by parts (1 Viewer)

Joined
Mar 3, 2005
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HSC
2006
hey i was wondering if anyone could help me out with integration by parts?

I [y3.e-y/2 dy] limits: 0--> infinity

thanks
 
Last edited:

Slidey

But pieces of what?
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Jun 12, 2004
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Integrate the exponential so that eventually y^3 becomes a constant:
=[-2y^3.e^(-y/2)] + 6*Int y^2.e^(-y/2) dy

Int y^2.e^(-y/2) dy
= [-2y^2.e^(-y/2)] + 4*Int y.e^(-y/2) dy

Int y.e^(-y/2) dy
= [-2y.e^(-y/2)] + 2*Int e^(-y/2) dy
= [-2y.e^(-y/2)] + [-4e^(-y/2)]

Now just add them all together.

BTW, I don't think 4unit integrals have limits to infinity.
 

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