AppliedNumeric answer
Integrating an exponential · Part 2 of 3
You integrate over numerically. The exact value is , so every estimate can be checked.
Simpson’s rule uses the same three points with weights 1, 4 and 1. What estimate does it give, to four decimals?
Answer with a number. Fractions, powers and expressions like 23/6 or C(52,5) are read correctly in practice.
The worked solution is in Premium
The answer, the full working and the one idea to take away – for this and all 1,322 questions in the bank. Answer it in practice and your working is marked, with a known mistake named when you make one.
Learn the method
More numerical methods questions
- You halve the step size in the trapezoid rule. By what factor does the error fall?Foundation
- Estimate ∫₀¹x² dx with the trapezoid rule on two equal intervals.Foundation
- A Monte Carlo price has a standard error of 0.04 after 10⁴ paths.Applied
- Up to what polynomial degree does three-point Gauss–Legendre quadrature integrate exactly?Applied
- Estimate ∫₀¹x³ dx with Simpson’s rule on two equal intervals.Applied
- For a smooth function, how does the error of the midpoint rule compare with…Applied