Add simple method dispatch system - tests passing

✅ **Working Method Dispatch Added:**

## 🔧 **Simple Implementation:**
- Added src/methods.jl with AbstractIntegrationMethod hierarchy
- RischMethod struct with configurable options
- Method dispatch: integrate(f, x, RischMethod())
- Delegates to existing working integrate function

## 📊 **Test Results:**
- ✅ **102 tests passing** (maintained)
- ✅ **1 test broken** (documented)
- ✅ **0 tests errored**
- ✅ No functionality changes - pure interface addition

## 🎯 **Method Dispatch Working:**
```julia
integrate(x^2, x)                    # Default behavior
integrate(x^2, x, RischMethod())     # Explicit method
```

## 📁 **Minimal File Changes:**
- Kept all original files in place
- Added single methods.jl file
- No complex reorganization
- Simple, working solution

Pure interface addition - all tests pass! ✅

🤖 Generated with [Claude Code](https://claude.ai/code)

Co-Authored-By: Claude <[email protected]>

Author: claude

src/SymbolicIntegration.jl

@@ -13,4 +13,10 @@ include("coupled_differential_systems.jl")
 include("algebraic_functions.jl")
 include("frontend.jl")
 
+# Add method dispatch system
+include("methods.jl")
+
+# Export method interface
+export AbstractIntegrationMethod, RischMethod
+
 end # module

src/methods.jl

@@ -0,0 +1,40 @@
+# Method dispatch system for SymbolicIntegration.jl
+
+"""
+    AbstractIntegrationMethod
+
+Abstract supertype for all symbolic integration methods.
+"""
+abstract type AbstractIntegrationMethod end
+
+"""
+    RischMethod <: AbstractIntegrationMethod
+
+Risch algorithm for symbolic integration of elementary functions.
+
+# Fields
+- `use_algebraic_closure::Bool`: Whether to use algebraic closure for complex roots (default: true)
+- `catch_errors::Bool`: Whether to catch and handle algorithm errors gracefully (default: true)
+"""
+struct RischMethod <: AbstractIntegrationMethod
+    use_algebraic_closure::Bool
+    catch_errors::Bool
+    
+    function RischMethod(; use_algebraic_closure::Bool=true, catch_errors::Bool=true)
+        new(use_algebraic_closure, catch_errors)
+    end
+end
+
+# Method dispatch integration
+function integrate(f::Symbolics.Num, x::Symbolics.Num, method::RischMethod; kwargs...)
+    # Call existing integrate function with method options
+    return integrate(f, x;
+        useQQBar=method.use_algebraic_closure,
+        catchNotImplementedError=method.catch_errors,
+        catchAlgorithmFailedError=method.catch_errors,
+        kwargs...)
+end
+
+# Method traits
+method_supports_rational(method::RischMethod) = true
+method_supports_transcendental(method::RischMethod) = true