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

1. kirbykirby

Ok give me a sec to type it out

2. anonymous

Awesome, thanks.

3. anonymous

did you mean "t" to "ln(t)" ? otherwise T is just a constant

4. anonymous

Yes

5. 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) = $(\frac{(\ln x)^3}{3}+3(\ln x))-(\frac{x^3}{3}+3x)$ = $\frac{(\ln x)^3}{3}+3(\ln x)-\frac{x^3}{3}-3x$

6. anonymous

Pretty good @kirbykirby

7. anonymous

Thanks for the help!

8. kirbykirby

yw