Find ∫x2e2x dx\int x^2e^{2x} \, dx∫x2e2xdx
Use the substitution u=2x+1u = \sqrt{2x + 1}u=2x+1 to show that ∫12x2x+1 dx=2(2x+1)12(Ax+B)+k\int \frac{12x}{\sqrt{2x + 1}} \, dx = 2(2x + 1)^{\frac{1}{2}}(Ax + B) + k∫2x+112xdx=2(2x+1)21(Ax+B)+k where AAA and BBB are integers to be found and kkk is an arbitrary constant.
Practise Edexcel A Level Maths 11.5 Integration by Substitution with exam-style questions for A Level Maths. 59 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.