I always love using mathematic tools for my works. They are extremely useful if you know what I mean. There are a lot of mathematic tools these day -- Mathcad, Mathematica, Matlab -- just to name a few. Out of the three, Matlab is the most flexible, but when it comes to a quick solving, the first two are my choices. When I want to do general calculations, I'll use Mathcad because it is very easy to write equations or symbols. However, when I want to do a symbolic calculation, I'll use Mathematica.
To compare the power of symbolic calculations of both tools, try to do the integral of x/(b+a-sqrt(a^2-x^2))^2 in both Mathcad and Mathematica. You'll be amazed by the power of Mathematica. Try it.
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