The trapezium rule Quiz

1. Use the trapezium rule with two strips to estimate $\int_0^2x^2\,dx$.

• A. $2$
• B. $3$
• C. $4$
• D. $\frac83$

2. How many ordinates are needed for the trapezium rule with $6$ strips?

• A. $5$
• B. $6$
• C. $7$
• D. $8$

3. Doubling the number of strips generally

• A. makes the estimate exactly equal to the integral
• B. increases the error
• C. has no effect on the estimate
• D. reduces the error

4. The curve is convex on $[a,b]$ (curving upwards). The trapezium rule gives

• A. an overestimate
• B. an underestimate
• C. the exact value
• D. an estimate that depends only on $h$

5. Find the strip width for $\int_1^5$ with eight strips.

• A. $0.4$
• B. $0.5$
• C. $0.625$
• D. $2$