Given that k k\,k is a positive constant,
find
∫8x2x2+k dx \int \frac{8x}{2x^2 + k} \, dx ∫2x2+k8xdxGiven also that
∫148x2x2+k dx=ln81 \int_{1}^{4} \frac{8x}{2x^2 + k} \, dx = \ln 81 ∫142x2+k8xdx=ln81find the value of kkk.
Practise Edexcel A Level Maths 11.4 Reverse Chain Rule with exam-style questions for A Level Maths. 8 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.