(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the integral. (Note: Solve by the simplest method - not all require integration by parts.)

∫t ln(t + 2) dt

2. Relevant equations

∫udv=uv-∫vdu

3. The attempt at a solution

dv=tdt v=tdt=t^{2}/2

u=ln(t+2) du=1/(t+2)dt

∫t ln(t + 2) dt

=(t^{2}/2)ln(t+2)-(1/2)∫(t^{2}/2)dt

=(t^{2}/2)ln(t+2)-(1/2)∫(t-2+(4/(t+2))dt

=(t^{2}/2)ln(t+2)-(1/2)[(t^{2}/2)-2t+4ln(t+2)]+C

=? Idk why I keep getting it wrong?

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# Find the integral. (Note: Solve by the simplest method )

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