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1.8 Integration

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Question 116

Evaluate the following indefinite integrals:

i.
∫x2−9x3−27x+1 dx \int \frac{x^2 - 9}{x^3 - 27x + 1} \, \mathrm{d}x ∫x3−27x+1x2−9​dx
[2]
ii.
∫13e2x(e2x−5)6 dx \int \frac{13 \mathrm{e}^{2x}}{(\mathrm{e}^{2x} - 5)^6} \, \mathrm{d}x ∫(e2x−5)613e2x​dx
[3]
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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