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1.8 Integration

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Question 105

Determine the following indefinite integrals:

i.
∫21x2−143x3−6x+5 dx \int \frac{21x^2 - 14}{3x^3 - 6x + 5} \, \mathrm{d}x ∫3x3−6x+521x2−14​dx
[3]
ii.
∫8e4x(7e4x+2)5 dx \int \frac{8\mathrm{e}^{4x}}{(7\mathrm{e}^{4x} + 2)^5} \, \mathrm{d}x ∫(7e4x+2)58e4x​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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