Find
[∫36(3−4x)2 dx [\int \frac{36}{(3 - 4x)^2} \, dx [∫(3−4x)236dx] giving your answer in simplest form.
Express 4x+71−2x\frac{4x + 7}{1 - 2x}1−2x4x+7 in the form
A+B1−2x where A and B are constants to be found. A + \frac{B}{1 - 2x} \text{ where } A \text{ and } B \text{ are constants to be found.} A+1−2xB where A and B are constants to be found.Hence find, using algebraic integration, the exact value of
[∫−404x+71−2x dx [\int_{-4}^{0} \frac{4x + 7}{1 - 2x} \, dx [∫−401−2x4x+7dx] giving your answer in the form alnb−ca\ln b - calnb−c, where a,b,a, b,a,b, and ccc are integers.
Practise Edexcel A Level Maths Integration with exam-style questions for A Level Maths. 437 questions covering 11.1 Integrating Standard Functions, 11.2 Integrating f(ax + b), 11.3 Using Trigonometric Identities, 11.4 Reverse Chain Rule, 11.5 Integration by Substitution, 11.6 Integration by Parts, 11.7 Partial Fractions, 11.8 Finding Areas, 11.9 The Trapezium Rule, 11.10 Solving Differential Equations, and 11.11 Modelling with Differential Equations, 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.
