# Exam-Style Question on Trapezium Rule

## A mathematics exam-style question with a worked solution that can be revealed gradually

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Question id: 506. This question is typical of the type of question in an A-Level examination. The use of a calculator is allowed.

(a) Use the trapezium rule with 4 ordinates to estimate to 2 decimal places the value of

$$\int^{\frac{2\pi}{3}}_0 \sin{x} \; \text{dx}$$

(b) State whether this estimate is an overestimate or underestimate of the area.

[Note: If knowing about radians is not part of your course then $$\frac{2\pi}{3}$$ can be replaced with 120°.]

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