Invincible Integration!

Observe the formula on Miss IBM's screen:

The variable N can be any constant you want!


You always get a square when you shade the area from zero(0) to N since the constant function is equal to N! What happens if N is equal to a negative number? Well...

Squaring a negative number gives you a positive number since negative × negative = positive! Also, notice some of the integral rules shown in the 2nd example. Finally, 1 more thing: N can be any real number you want it to be. (Imaginary numbers aren't allowed.)

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© Derek Cumberbatch