Numerical Integration
Numerical computation of definite integrals, supporting trapezoidal, Simpson's, and Simpson's 3/8 rules.
Integration Settings
Quick Examples
Method Description
- Trapezoidal Rule：Divides the interval into n subintervals and approximates the integral using trapezoid areas, accuracy O(h²).
- Simpson's Rule：Fits quadratic functions, accuracy O(h⁴), n must be even.
- Simpson's 3/8 Rule：Fits cubic functions, accuracy O(h⁴), n must be a multiple of 3.
- Larger subinterval count n yields more accurate results but increases computation time.
- Supported functions: sin, cos, tan, log, log2, log10, sqrt, abs, exp, pow; constants PI, E; ^ denotes exponentiation.
Usage Instructions
Features
Numerical integration tool supporting trapezoidal, Simpson's, and Simpson's 3/8 rules for definite integrals, with side-by-side method comparison.
Steps
Enter the integrand f(x) → enter lower bound, upper bound, and subinterval count → choose a method → click "Calculate" to view the result; select "Compare Methods" to view results from all three methods simultaneously.
Notes
All computations run locally in the browser; larger subinterval counts are more accurate but slower; syntax errors in the function will display a prompt; the upper bound must be greater than the lower bound.