Ok, so first the precious question, and now:
I try to find primitve functions. Wolfram Alpha primitive \frac{1}{x^{2}-x+1}-\frac{x}{x^{2}-x+1} - Wolfram|Alpha
and I disagree
My answer is this
4/3arctan(?4\?3*(x-1/2))+1/2(ln(x^2-x+1)+4/3arctan(?4/?3(x-1/2 - Wolfram|Alpha)))
And here are my...
Wouldn't it be very obvious how it behaves when x approaches infty – since for very large x, the denominator would be very large, but the numerator is periodic. So the fraction approaches 0. Correct or wrong?
What about this argument:
we know how the graph of sin^2(x) looks, since we can write it in terms of cos(2x).
and sin^2(x) is divided by x, so we can actually understand how the graph looks for any x except zero (put it in you grapher and see).
for the given function, we have f(x)=-f(-x) for...