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1.8 Integration

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Question 1

f(x)=2x3−x2−8x+4f(x) = 2x^3 - x^2 - 8x + 4f(x)=2x3−x2−8x+4

a.

Use the factor theorem to show that (x+2)(x + 2)(x+2) is a factor of f(x)f(x)f(x)

[2]
b.

Hence, showing all your working, write f(x)f(x)f(x) as a product of three linear factors.

[4]
c.

The finite region R R\,R is bounded by the curve with equation y=f(x)y = f(x)y=f(x) and the xxx-axis, and lies below the xxx-axis. Find, using algebraic integration, the exact value of the area of RRR.

[4]
Markscheme

1.8 Integration Questions

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

160 exam-style questions on WJEC A Level Maths 1.8 Integration, covering 1.8.1 Integration, 1.8.2 Integration, and 1.8.3 Integration. Each one has a worked solution and a mark scheme showing where the marks go.

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