Methods2023 Exam 1 · Q4Tech-free2 marks

Trapezium rule approximation of area

The graph of $y = x + \frac{1}{x}$ is shown over part of its domain.

Graph of y = x + 1/x for x > 0, with the y-axis as a vertical asymptote, a minimum near (1, 2), then rising approximately linearly; x-axis marked 1 to 4 and y-axis marked 1 to 4.

Use two trapeziums of equal width to approximate the area between the curve, the $x$ -axis and the lines $x = 1$ and $x = 3$ .

2 marks

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