Methods2025 Exam 2 Section A · Q6CAS active1 mark

Trapezium rule overestimate

The trapezium rule is used, with two trapeziums, to estimate the area bounded by the graph of $y = f(x)$ , the $x$ -axis and the lines $x = 0$ and $x = 1$ .

For which function will the trapezium rule estimate be larger than the exact area?

1 mark

f(x) = 3 - e^{x}

f(x) = x^{3} + 1

f(x) = 3\sin(x) + 1

f(x) = \log_e(x + 3)

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