Hey guys,

just confused on a couple problems, not sure how some of the numbers showed up in the answer

1.) $\displaystyle (t^2+2)/(t^3+6t+3)dt$

The answer is 1/3 LN| t^3+6t+3| +c

Where did the natural log come from, is there any type of formula I am missing for this? That's the only part I'm confused about from the problem.

2.) $\displaystyle (-x^2-3x+5)dx$ defined between 3 and -2

The answer is 35/6. For my math, I did the following:

$\displaystyle ((-x^3/3)-3x^2+5x)$ and then plugged in the defined points, (3) - (-2), however I'm not getting anything close to 35/6.

Any tips and advice is appreciated, also if you have any special formulas that you use to solve definite integrals would also be nice,

Thanks alot!