The trapezium rule Quiz

1. Estimate $\int_0^2x^3\,dx$ using 2 strips.

• A. $4$
• B. $10$
• C. $5$
• D. $6$

2. How many ordinates are needed for 5 strips?

• A. 4
• B. 5
• C. 7
• D. 6

3. The trapezium rule is used on the concave function $y=\sqrt x$. The estimate is

• A. an underestimate
• B. an overestimate
• C. exact
• D. impossible to classify

4. For an increasing function, rectangles drawn using the left-hand end of each strip give

• A. an upper bound
• B. a lower bound
• C. the exact area
• D. the trapezium estimate

5. Find $h$ for $\int_1^5$ with 8 strips.

• A. $0.4$
• B. $1$
• C. $0.5$
• D. $0.625$