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1.7 Integration

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Question 14

$f(x) = 2x^3 - x^2 - 8x + 4$

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

[2]

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

[4]

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

[4]

Markscheme

1.7 Integration Questions

A Level
Maths
1.7 Integration

133 exam-style questions on CCEA A Level Maths 1.7 Integration, covering 1.7.1 Integration, 1.7.2 Integration, and 1.7.3 Integration. Each one has a worked solution and a mark scheme showing where the marks go.

1.7 Integration

Question bank

1.7 Integration

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Question 14

$f(x) = 2x^3 - x^2 - 8x + 4$

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

[2]

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

[4]

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

[4]

Markscheme

1.7 Integration Questions

A Level
Maths
1.7 Integration