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 AQA A Level Maths 1.11 H: Integration with exam-style questions for A Level Maths. 436 questions covering 1.11.1 Fundamental Theorem of Calculus, 1.11.2 Integrating standard functions, 1.11.3 Definite integrals and areas, 1.11.4 Integration as the limit of a sum (A-level only), 1.11.5 Integration by substitution and by parts (A-level only), 1.11.6 Integration using partial fractions (A-level only), 1.11.7 Differential equations with separable variables (A-level only), and 1.11.8 Interpreting solutions of differential equations (A-level only), matched to the AQA A Level Maths (7357) 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.
