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bbkzr31

  • 3 years ago

integral from x to lnx (t^2 + 3)dt Please show steps.

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  1. kirbykirby
    • 3 years ago
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    Ok give me a sec to type it out

  2. bbkzr31
    • 3 years ago
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    Awesome, thanks.

  3. incomplte
    • 3 years ago
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    did you mean "t" to "ln(t)" ? otherwise T is just a constant

  4. bbkzr31
    • 3 years ago
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    Yes

  5. kirbykirby
    • 3 years ago
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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) = \[(\frac{(\ln x)^3}{3}+3(\ln x))-(\frac{x^3}{3}+3x)\] = \[\frac{(\ln x)^3}{3}+3(\ln x)-\frac{x^3}{3}-3x\]

  6. incomplte
    • 3 years ago
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    Pretty good @kirbykirby

  7. bbkzr31
    • 3 years ago
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    Thanks for the help!

  8. kirbykirby
    • 3 years ago
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    yw

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