Symbolic-Integration-Lisp
Symbolic Integration in Lisp: Lisp code to find indefinite integral, of a given function f(x). Incorporates 'Integration by part' and 'Integration by substitution'. This project contains two files:
- main.lisp -- Contains the main lisp code required for integration
- diff.lisp -- Contains code to provide differentaion of fucntions required for 'Integration by part'
Usage:
- The integration is performed by calling the function
integratetop
and is shown below :
###Input --
- All the inputs are in prefix notation e.g. (x*4) becomes
(* x 4)
- Even though the notaion is prefix, the function is broken in into 'elementry' blocks (i.e. blocks of 3 elements) and a list is dedicated to each block e.g. : log ( Sin ( 4 * x)) becomes
(integratetop '(log sin ( * 4 x)))
- Substitution method: To integrate (F( g(x)) g(x)) dx input should be like:
'(* (sin (* 0.5 (^ x 2))) (x)))
- Integration by part method: Function to be integrate should in place before the other. e.g.
is preferred over
- Pass all the lists to 'integratetop' function for integration e.g. for integrating x^2 call
###Output --
- Would be in the same formal as described above
###Authors:
Vageesh DC (vageesh.dc@gmail.com)
Pankaj Kumar (me@panks.me)