1. The problem statement, all variables and given/known data Evaluate the definite integrals. 2. Relevant equations Integral of (t+1)/(t^2+2t+1) dt from 1 to 4 (a=1, b=4) and Integral of (xe^(x^2+1)) dx from 0 to 2 (a=0, b=2) 3. The attempt at a solution I have done them out, just wondering if this is the best way to do them, and perhaps if I made a mistake, it would be nice to know why: For the first one, I factored and got: (t+1) / ((t+1)(t+1)) then i cancelled and got 1 / (t+1) Which then means: ln |t+1| from 1 to 4 = ln |5| - ln |2| Is that the answer for that? Now, for the second one, I did the same thing: antiderivative of (xe^(x^2+1)) = 1/2 (e^(x^2+1)... right? Then the answer would be from 0 to 2: e^5 - e^1 = e^4 Any feedback would be great.