bbkzr31
integral from x to lnx (t^2 + 3)dt Please show steps.
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kirbykirby
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Ok give me a sec to type it out
bbkzr31
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Awesome, thanks.
incomplte
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did you mean "t" to "ln(t)" ? otherwise T is just a constant
bbkzr31
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Yes
kirbykirby
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\[\int\limits_{X}^{\ln X}(t^2+3)dt\]=\[[\frac{t^3}{3}+3t] \]evaluated from x to ln x (this is just the power rule)
= \[(\frac{(\ln x)^3}{3}+3(\ln x))-(\frac{x^3}{3}+3x)\]
= \[\frac{(\ln x)^3}{3}+3(\ln x)-\frac{x^3}{3}-3x\]
incomplte
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Pretty good @kirbykirby
bbkzr31
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Thanks for the help!
kirbykirby
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yw