OpenStax Calc 1 Section 4.5: #224--230 for computing f′,f′′ and extracting data from the sign charts (increasing, decreasing, concave up, concave down)
OpenStax Calc 1 Section 6.1 (Area Between Curves): #1--30
Advice: A number of these problems are a pain to evaluate by hand. Focus on setting up the integral and check that you can do the indefinite version of the integral. If doing the evaluation by hand looks overly tedious, it is fine to use a calculator (a symbolic calculator is best, like WolframAlpha or Symbolab, so that you get exact answers, not numerical approximations).
Also, you should be sketching the region by hand, before checking with a graphing calculator (such as Desmos). Don't rely on having a graphing calculator, since you won't have one on the exam.
The bad problems:
#3 has bad intersection points: x=21±5
#18 has bad intersection points: x=1±2. Three separate integrals.
#24 has bad intersection points: x=−1±3
#30 has bad intersection points: x=21±5
Additional comments on the problems:
#9: Use symmetry, otherwise you'll have 4 integrals.
#16 is interesting. The evaluation can be simplified using visual symmetry
#26: Finding the intersection point by hand is a bit tricky. Use the trig identity cos2y=1−2sin2y to get a quadratic in terms of siny and factor. There's only one intersection point in the relevant interval.
#32, 34: To integrate cos3x, use the identity cos2x=1−sin2x followed by a u-sub
#36: Geometry is needed for part of the integral.
#37: The integral(s) to compute the area between curves can be set up (finding the intersection point by hand is possible), but cannot be evaluated by hand without Integration By Parts, a Calc 2 integral technique.
Volumes of revolution
Similar comments to the "Area between curves" bullet above. The important step here is setting up the integral. Doing the indefinite integral should be straightforward (one should check this), and the evaluation can be left to a calculator (as it should be straightforward, though sometimes tedious). Should be able to sketch the regions by hand. Can check the sketch with a graphing calculator (e.g. Desmos), but don't overly rely on it (since you won't have a calculator on the exam).
#114--#119 are especially good practice. Can check that the setups are correct, since both integrals should give the same numerical answer. No technology needed for these.
has good problem sets on limits, derivatives, integrals (individually linked above)
A few relevant things on the Calc 2 page ("Watch This Before Calc 2", "Limits & L'Hospital's Rule", "So you think you can take the derivative", "Integral Battles")