The symbolic operation enables us to calculate the math formula by symbolic expression. To solve a equation, user only need to provide a symbolic form of expression to get the answer.
This function is provided free on Wolframalpha.com. For example, if a user want to solve the equation below.
The user need to input x^2+4x+9=0 in Wolframalpha.com, and can get the answer like bellow.
Well, this site gets slow sometimes and asks for registration. I decided to find symbolic function of Octave. Luckily, there was “symbolic” package I can use. I was able to use it even though it is a bit more complicated compared to Wolframalpha.com.
This is the way to solve the system of equations.
Maxima is also open source software specialized in symbolic operations. On Ubuntu, it comes in a package called WxMaixma. The following figure shows how to integrate. You can see that we find the formula for the negative integral.