anonymous
  • anonymous
integral from x to lnx (t^2 + 3)dt Please show steps.
Mathematics
schrodinger
  • schrodinger
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kirbykirby
  • kirbykirby
Ok give me a sec to type it out
anonymous
  • anonymous
Awesome, thanks.
anonymous
  • anonymous
did you mean "t" to "ln(t)" ? otherwise T is just a constant

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anonymous
  • anonymous
Yes
kirbykirby
  • kirbykirby
\[\int\limits_{X}^{\ln X}(t^2+3)dt\]=\[[\frac{t^3}{3}+3t] \]evaluated from x to ln x (this is just the power rule) = \[(\frac{(\ln x)^3}{3}+3(\ln x))-(\frac{x^3}{3}+3x)\] = \[\frac{(\ln x)^3}{3}+3(\ln x)-\frac{x^3}{3}-3x\]
anonymous
  • anonymous
Pretty good @kirbykirby
anonymous
  • anonymous
Thanks for the help!
kirbykirby
  • kirbykirby
yw

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