/sci/ - Science & Math

>>14581453
Hold on to your seat, cause I'm about to blow your mind.
According to Landau logic, if g(y) is any function, then as f is a total derivative w.r.t. y, let's say [math]f(x,y) = \frac{dh}{dy} [/math] we have
[math]\int_{0}^{1} f(g(y), y) dy = \int_0^1 \frac{d}{dy} h(g(y), y) dy = h(g(1), 1) - h(g(0), 0)[/math].
Taking [math]g(y) = y[/math] this gives us
[math]0 = \int_0^1 (y^2 - y^2) dy = (y^2 *y - y^2/3 + C)|^{y=1}_{y=0}= 2/3[/math]. Truly an astounding result!
Such is math when you are a physicist like Landau.

>>10530817
fucking based