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
438 exam-style questions on OCR A Level Maths 1.8 Integration, covering 1.8.1 Fundamental theorem of calculus (A-level only), 1.8.2 Integrating x^n, 1.8.3 Integrating standard functions (A-level only), 1.8.4 Evaluating definite integrals, 1.8.5 Area between a curve and the x-axis, 1.8.6 Area between two curves, 1.8.7 Integration as the limit of a sum (A-level only), 1.8.8 Integration by substitution (A-level only), 1.8.9 Integration by parts (A-level only), 1.8.10 Use of partial fractions in integration (A-level only), 1.8.11 Differential equations with separable variables (A-level only), 1.8.12 Interpreting the solution of a differential equation (A-level only), and 1.8 Integration. Each one has a worked solution and a mark scheme showing where the marks go.