LanguageTool

Author: ArnoStrouwen

docs/src/index.md

@@ -2,11 +2,20 @@
 
 **SymbolicNumericIntegration.jl** is a hybrid symbolic/numerical integration package that works on the [Julia Symbolics](https://docs.sciml.ai/Symbolics/stable/) expressions.
 
-**SymbolicNumericIntegration.jl** uses a randomized algorithm based on a hybrid of the *method of undetermined coefficients* and *sparse regression* and is able to solve a large subset of basic standard integrals (polynomials, exponential/logarithmic, trigonometric and hyperbolic, inverse trigonometric and hyperbolic, rational and square root).
+**SymbolicNumericIntegration.jl** uses a randomized algorithm based on a hybrid of the *method of undetermined coefficients* and *sparse regression* and can solve a large subset of basic standard integrals (polynomials, exponential/logarithmic, trigonometric and hyperbolic, inverse trigonometric and hyperbolic, rational and square root).
 The basis of how it works and the theory of integration using the Symbolic-Numeric methods refer to [Basis of Symbolic-Numeric Integration](https://github.com/SciML/SymbolicNumericIntegration.jl/blob/main/docs/theory.ipynb).
 
 Function `integrate` returns the integral of a univariate expression with *constant* real or complex coefficients. `integrate` returns a tuple with three values. The first one is the solved integral, the second one is the sum of the unsolved terms, and the third value is the residual error. If `integrate` is successful, the unsolved portion is reported as 0.
 
+## Installation
+
+To install SymbolicNumericIntegration.jl, use the Julia package manager:
+
+```julia
+using Pkg
+Pkg.add("SymbolicNumericIntegration")
+```
+
 ```julia
 using Symbolics
 using SymbolicNumericIntegration
@@ -122,6 +131,22 @@ If you use **SymbolicNumericIntegration.jl**, please cite [Symbolic-Numeric Inte
 }
 ```
 
+## Contributing
+
+  - Please refer to the
+    [SciML ColPrac: Contributor's Guide on Collaborative Practices for Community Packages](https://github.com/SciML/ColPrac/blob/master/README.md)
+    for guidance on PRs, issues, and other matters relating to contributing to SciML.
+
+  - See the [SciML Style Guide](https://github.com/SciML/SciMLStyle) for common coding practices and other style decisions.
+  - There are a few community forums:
+    
+      + The #diffeq-bridged and #sciml-bridged channels in the
+        [Julia Slack](https://julialang.org/slack/)
+      + The #diffeq-bridged and #sciml-bridged channels in the
+        [Julia Zulip](https://julialang.zulipchat.com/#narrow/stream/279055-sciml-bridged)
+      + On the [Julia Discourse forums](https://discourse.julialang.org)
+      + See also [SciML Community page](https://sciml.ai/community/)
+
 ## Reproducibility
 
 ```@raw html

src/integral.jl

@@ -23,7 +23,7 @@ Base.signbit(x::SymbolicUtils.Sym{Number, Nothing}) = false
     max_basis: the maximum number of candidate terms to consider
     verbose: print a detailed report
     complex_plane: generate random test points on the complex plane (if false, the points will be on real axis)
-    homotomy: use the homotopy algorithm to generat the basis
+    homotopy: use the homotopy algorithm to generate the basis
 
     output:
     -------