Super elegant way of evaluating the alternating sum of squares! 🎉 The only other tiny thing to note is that floor(sin(pi*x)) returns 1 when x = (4k + 1)/2, but since those are removable discontinuities at single points, they don’t affect the integral.

@owlsmath

18 күн бұрын

Thanks! And thanks for the problem. I really liked this one! Especially because it brought in that sum at the end which I don't think I covered before on YT.

Saw "nice" in the title and the upper bound of "23" on the integral and said "oh real mature" out loud 😂 I was wrong but so convinced it was gonna be "69"

@owlsmath

19 күн бұрын

There is one of those coming in a future video but it was actually done by one of the university contests so I was kind of surprised. :)

Guessed this one too! 😂

@owlsmath

19 күн бұрын

maybe guessing is the best way to do integrals! :)