How to "study" A-level Maths, not just learn?

To make you an A* student in Maths and Further Maths, the main technique is to sort everything by methods and knowledge. I spent 3 weekends catching up from knowing nothing to A* by my methods and I will never forget it, because I'm study it, not learn it. 

RL

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Differentiaate the folowing equation with respect to x: y=4x^3-3x^2+9x+2


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Differentiate ln(x^3 +2) with respect to x


Using the substitution u = 2 + √(2x + 1), or other suitable substitutions, find the exact value of 4 0 1 ∫ 2 (2 1) +√ +x dx giving your answer in the form A + 2ln B, where A is an integer and B is a positive constant