Edexcel Further Pure Maths IGCSE (2017) SAM Paper 2 Q9

TOUGH 13 mark question on volumes of rotation
This is a hybrid-style question with heavy emphasis on both the quadratic equation and integration - including a reshoot and learning how to actually do the question, this video took me two hours to make!

The Method:
-Complete the square to find the maximum and x-value of maximum for a given negative-xsquared-term quadratic equation
-Make one function equal to another to solve for the x-coordinates of points of intersection
-Take the difference between the volumes of rotation for two functions in order to find out the volume of rotation of the finite region bounded by those two functions

This question is mainly relevant to
Topic 9 : Calculus
Topic 2 : The Quadratic Equation

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