# Worksheet: Numerical Integration: Simpson’s Rule

In this worksheet, we will practice approximating definite integrals using Simpson’s rule and estimating the error when using it.

**Q1: **

Use Simpson’s rule with to estimate the arc length of the curve between and . Give your answer to 5 decimal places.

**Q2: **

Approximate the area under the curve between and using Simpson’s rule with subintervals.

**Q3: **

Approximate the integral using Simpson’s rule with subintervals, rounding your answer to one decimal place.

- A1.4
- B0.2
- C1.2
- D1.9
- E0.7

**Q4: **

Approximate the area under the curve between and using Simpson’s rule with subintervals, rounding your answer to the nearest whole number.

- A16
- B12
- C24
- D8
- E6

**Q5: **

Approximate the area under the given curve between and using Simpson’s rule with subintervals.

- A
- B
- C
- D
- E