It is the integral from 4 to 5 of t times square root of (t-4) I tried integrating parts but did not come up with the correct answer. This is so simple I don't understand why I can't get this. Thanks for the help.
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Try the substitution u= t- 4. Then t= u+4 so [itex]t\sqrt{t- 4}= (u+4)u^{1/2}[/tex]. Don't forget to change the limits of integration: when t= 4, what is u? When t= 5, what is u?
Great! I did that substitution and it worked! I got the right answer. For learning purposes though, why couldn't I use integration by parts here? Thanks.
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