Express 7x+11(x+1)(x+3)\displaystyle \frac{7x + 11}{(x + 1)(x + 3)}(x+1)(x+3)7x+11 in partial fractions
Given that f(x)=7x+11(x+1)(x+3)\displaystyle f(x) = \frac{7x + 11}{(x + 1)(x + 3)}f(x)=(x+1)(x+3)7x+11, find ∫f(x)dx\int f(x) dx∫f(x)dx
480 exam-style questions on AQA A Level Maths 1.11 H: Integration, 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). Each one has a worked solution and a mark scheme showing where the marks go.