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ethayer
 2 years ago
integral of (3t2)/(t+1)
ethayer
 2 years ago
integral of (3t2)/(t+1)

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TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.1easiest way is probably\[u=t+1\implies t=u1\]\[du=dt\]

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.1long division would also work

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.0I tried it with long division and it was pretty easy that way.

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1i like the gimmick of writing \[3t2=3t+35\]

ethayer
 2 years ago
Best ResponseYou've already chosen the best response.0where do I go with long division after I get 3 remainder 5?

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1so you get \[\frac{3t2}{t+1}=\frac{3t+35}{t+1}=1\frac{5}{t1}\]

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1oops \[\frac{3t2}{t+1}=\frac{3t+35}{t+1}=3\frac{5}{t1}\]

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1then integrate each piece first one gives you \(3x\) second gives you \(5\ln(t1)\)

ethayer
 2 years ago
Best ResponseYou've already chosen the best response.0ah got it thanks very much

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1damn another typo!! should be \[3x5\ln(x+1)\]

RaphaelFilgueiras
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1349062509781:dw
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