Manipulating Integrals

I’ve written previously about Mathematica. I’m going to describe a really cool feature that none of the other symbolic manipulation programs have.

Integrating

\int {\frac{1}{x^n}dx}

depends on the value of n. If n equals 1, then the integral value is Log(x). Otherwise it’s just x^(-n+1)/(-n+1). Mathematica allows one to manipulate the value of n in realtime. Here are three screenshots with n={0,1,2}.

Mathematica Integrals

I wish I had this when I was studying Calculus for the first time!

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