anonymous
  • anonymous
whats the integral of lnt/t
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
You can solve this using u-substitution. let u = Ln(t) so du = 1/t dt
anonymous
  • anonymous
The problem then becomes \[\int\limits_{?}^{?}u du = u ^{2}/2 + c = (Ln(t))^{2}/2 + c\]
anonymous
  • anonymous
\[\int\limits_{1}^{e}\]

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anonymous
  • anonymous
You need the integral from 1 to e?
anonymous
  • anonymous
yes evalute
anonymous
  • anonymous
you should try it from here
anonymous
  • anonymous
ok.. thanks
anonymous
  • anonymous
Ln(1)^2 - Ln(e)^2
anonymous
  • anonymous
oops, sorry. Ln(e)^2-Ln(1)^2
anonymous
  • anonymous
then divide the answer by 2
anonymous
  • anonymous
ln|1| is 0 right
anonymous
  • anonymous
yes
anonymous
  • anonymous
the answer is 1/2
anonymous
  • anonymous
you got it :)
anonymous
  • anonymous
thanks a lot
anonymous
  • anonymous
one more. I seem to have trouble converting radicals to exponentials
anonymous
  • anonymous
trying to figure out the integral of dt/3 root of t
anonymous
  • anonymous
I meant cube root of t
anonymous
  • anonymous
let me write it out \[dt/\sqrt[3]{t}\]

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