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KatClaire
 2 years ago
Find the following integral
KatClaire
 2 years ago
Find the following integral

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KatClaire
 2 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{}^{} \frac{ (2t+1)^{2} }{ \sqrt{t} } dt\]

KatClaire
 2 years ago
Best ResponseYou've already chosen the best response.0does \[\frac{ t ^{2} }{ \sqrt{t} } \] cancel out????

RadEn
 2 years ago
Best ResponseYou've already chosen the best response.3u need to expand of (2t + 1)^2 = 4t^2 + 4t + 1 and convert sqrt(t) = t^(1/2) now, can u simplify (4t^2 + 4t + 1)/t^(1/2) ?

kugler97
 2 years ago
Best ResponseYou've already chosen the best response.0yea i think it does lol

KatClaire
 2 years ago
Best ResponseYou've already chosen the best response.0well I'll show you how far I got \[4 \int\limits_{}^{} \frac{ t ^{2} }{ t ^{1/2} } +4 \int\limits_{}^{} \frac{ t }{ t ^{1/2} } + \int\limits_{}^{} \frac{ 1 }{ t ^{1/2} }\]

RadEn
 2 years ago
Best ResponseYou've already chosen the best response.3so far is good, then use the properties of exponent to simplify of them : dw:1358987039172:dw

RadEn
 2 years ago
Best ResponseYou've already chosen the best response.3now, what would be ur integral ?

KatClaire
 2 years ago
Best ResponseYou've already chosen the best response.0Sorry openstudy crapped out last night lol thanks

RadEn
 2 years ago
Best ResponseYou've already chosen the best response.3nopes.. :) btw, do u got it ?

KatClaire
 2 years ago
Best ResponseYou've already chosen the best response.0Mhmm :) I got \[\frac{ 8t ^{^{5/2}} }{ 5 }+\frac{ 8t ^{3/2} }{ 3 }+ 2t ^{1/2}+c\] Look about right?

RadEn
 2 years ago
Best ResponseYou've already chosen the best response.3yeah, i have cheked ur answer you are right :)

KatClaire
 2 years ago
Best ResponseYou've already chosen the best response.0Hehe you are the best thanks!!!!
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