Determine ddxln(sec43x)\frac{d}{dx}\ln(\sec^4 3x)dxdln(sec43x), giving your answer in its simplest form.
Differentiate (3x2−4)3(3x^2 - 4)^3(3x2−4)3 with respect to xxx.
Hence show that ∫02x(3x2−4)2 dx=K\int_{0}^{2} x(3x^2 - 4)^2 \, dx = K∫02x(3x2−4)2dx=K where KKK is an integer to be found.
(Solutions relying on calculator technology are not acceptable.)
Practise Edexcel A Level Maths 9.3 The Chain Rule with exam-style questions for A Level Maths. 50 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.