HL Paper 2 exam-like questionThe region R is enclosed by the graph of \(y = {\rm{\pi }} - 3\arccos \left( x \right)\), the y-axis and the line \(y = 2\).(a) Write down a definite integral to represent the area of R. [4](b) Calculate the area of R. [2]Solution:(a) area \( =\displaystyle \int\limits_0^{0.928...} {\left[ {2 - \left( {{\rm{\pi }} - 3\arccos x} \right)} \right]} \,{\rm{d}}x\)(b) area \( \approx 1.89\) \({\rm{unit}}{{\rm{s}}^2}\)A question very similar to the one above was question #4 on the May 2017 HL Paper 2 exam (time zone 1). The comment for the question that appeared in the subsequent...