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Registered
Join Date: Dec 2002
Location: www.fakelife.com
Posts: 1,672
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Math Help: Integration by parts
Thought I'd throw this out to the PPOT crowd.
Evaluate the integral from 1 to 4 of sqrt(t)*ln(t)dt
For the parts I set
u = ln(t)
du = (1/t)dt
dv = sqrt(x)
v = (1/(2sqrt(t)))dt
Using the integration by parts formula I get:
ln(t)(1/(2sqrt(t)))dt - integral of (1/(2sqrt(t)))*(1/t)dt
I was thinking of doing I.b.P again, but I don't see it eliminating either of the terms allowing me to integrate.
Anyone have any ideas?
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I turn away with fear and horror from this lamentable sore of continuous functions without derivatives. -- Charles Hermite
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