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1.8 Integration

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Question 116

The profile of a decorative glass panel is modeled by the curve $y=23x3\displaystyle y = \frac{2}{3}x^3$ . The design requires two specific regions of the panel to be tinted.

Region 1 is bounded by the curve, the $x$ -axis, and the vertical lines $x = - 3$ and $x = - 1$ .

Region 2 is bounded by the curve, the $x$ -axis, and the vertical lines $x = 0$ and $x = 2$ .

Find the total area of the tinted regions.

10.67

13.33

16.00

18.67

[5]

Markscheme

1.8 Integration Questions

A Level
Maths
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.

1.8 Integration

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1.8 Integration

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Question 116

The profile of a decorative glass panel is modeled by the curve $y=23x3\displaystyle y = \frac{2}{3}x^3$ . The design requires two specific regions of the panel to be tinted.

Region 1 is bounded by the curve, the $x$ -axis, and the vertical lines $x = - 3$ and $x = - 1$ .

Region 2 is bounded by the curve, the $x$ -axis, and the vertical lines $x = 0$ and $x = 2$ .

Find the total area of the tinted regions.

10.67

13.33

16.00

18.67

[5]

Markscheme

1.8 Integration Questions

A Level
Maths
1.8 Integration