Integration Methods Overview
SymbolicIntegration.jl uses a flexible method dispatch system that allows you to choose different integration algorithms based on your needs.
Available Methods
RischMethod (Default)
The Risch method is the complete algorithm for symbolic integration of elementary functions, based on Manuel Bronstein's algorithms.
# Default usage
integrate(f, x) # Automatically uses RischMethod
# Explicit usage
integrate(f, x, RischMethod())
# With configuration
integrate(f, x, RischMethod(use_algebraic_closure=true, catch_errors=false))Capabilities:
- ✅ Rational functions with exact arctangent terms
- ✅ Exponential and logarithmic functions
- ✅ Trigonometric functions (via transformation)
- ✅ Complex root handling
- ✅ Integration by parts
Best for: Complete symbolic integration with guaranteed correctness