we use all of them at school (except Patel + Terry). From experience, I find Fitzpatrick OKAY for learning the basic concepts (some questions are on the weird side though). However, for consolidating on learnt knowledge, no doubt Coroneos is the best.
Stay away from Cambridge as much as...
You'll have to do it in two parts:
The first part: you consider the shells made between y = 0 and y = 2. They will involve ONLY the line y = x
The second part: you consider the shells made between y = 2 and y = 4/3. They will involve both y = x and y = x/2 + 2.
Then you add the two parts...
Following on from RishBonjour.....
Expand the RHS first using binomial theorem (ie. the first term). Every term in the expansion would be divided by x, so the general term becomes n+1Ck times x^(k-1).
From here, consider the term in x^2 on the RHS: ie k - 1 = 2
therefore, the value of k is 3...
don't worry man. My idiotic teacher puts a question in our trials from a topic that we didn't even cover in class. AND she even said it wasn't going to be included in the paper. 8% gone then and there. :|