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1.8 Integration

1.8 Integration

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Question 14
a.

Express 4x+5(x+2)(2x+1)\displaystyle \frac{4x + 5}{(x + 2)(2x + 1)}(x+2)(2x+1)4x+5​ in partial fractions

[3]
b.

Given that x>0x > 0x>0, find the general solution to the differential equation

(x+2)(2x+1)dydx=y(4x+5) (x + 2)(2x + 1) \frac{dy}{dx} = y(4x + 5) (x+2)(2x+1)dxdy​=y(4x+5)
[5]
c.

Hence find the particular solution to the differential equation that satisfies y=24y = 24y=24 at x=1x = 1x=1, giving your answer in the form y=f(x)y = f(x)y=f(x)

[4]
Markscheme

1.8 Integration Questions

  1. A Level
  2. /Maths
  3. /1.8 Integration

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.

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