Nothing fancy here really just eight integrals to be taken from the exercises on page 23, 32, 36, 39, 42, 44, 48 and 59. The only thing that’ll change is the constants will be different for Tests A and B. Please find your sample here.

*I just noticed this says Test A rather than Sample at the top. It is a sample and not what the actual Test A is going to be. Also I will attach a copy of the tables.*

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February 21, 2012 at 11:33 am

Student 3Sorry to bother you but I was just wondering if you could explain how to do Q. 3 on page 48 of the notes. After choosing and I’m unsure how to integrate , I know you said to use both sets of tables but I still can’t seem to figure it out.

February 21, 2012 at 12:03 pm

J.P. McCarthyNote that you DO know how to differentiate so this should have been your . Remember choose your according to the following LIATE hierarchy:

Log

Inverse Trig — in in here

Algebraic — polynomials

Trig

Exponential

Hence try and . Then and so we have

. (*)

The second integral is not that easy

.

I recommend that you divide into to get

. Feed this back into (*) to yield:

.

February 21, 2012 at 12:06 pm

Student 4I was doing the sample test A (MS2002) before the exam tomorrow and can’t figure out how to do question eight. I’ve looked through the notes and can’t seem to find a similar problem in them. (I’m probably not looking in the right place). Would you be able to point me in the right direction as I’m sure if I knew how to begin the question I’d be able to do it!

February 21, 2012 at 12:10 pm

J.P. McCarthyWe have . Note that we have a function () – multiple of derivative () pattern so we let . Work away now you should be grand.

J.P.