The integration is generally area under the curve in $\Bbb R^2 \to \Bbb R$ Is integration in the range from $a$ to $b$ the same as $b$ to $a$ or is it neg...

As I understand it, $i^i$ returns more than one real number. Why does this happen? When I raise $i$ to $i$, I'm raising a specific number to itself. ...

In the game Stardew Valley, farming is essential. In order to plant seeds, one must till the soil using a hoe. A golden hoe is an upgraded hoe that allows...

If $a_n$ is a sequence such that $$a_1 \leq a_2 \leq a_3 \leq \dotsb$$ and has the property that $a_{n+1}-a_n \to 0$, then can we conclude that $a_n$ is c...

I want to prove that if: $$\lim_{n \to \infty}s_n = L_1, \lim_{n \to \infty}t_n = L_2$$ then $$\lim_{n \to \infty}(s_n t_n) = L_1L_2$$ where $s_n, t_n$ ar...

What I did $z^2=3-4i$ $(a+bi)^2 = 3-4i$ $a^2-b^2+2abi = 3-4i$ Then got 2 simultaneous equations $a^2-b^2=3$ and $2ab=-4$ Solve for $a^2$ in 1st equation: ...

$\mathbb Q$ is used to represent rational numbers. $\mathbb R$ is used to represent real numbers. Is there an accepted symbol for imaginary numbers?

Five years ago I was tutoring orphans in a local hospital. One of them asked me the following question when I tried to ask him to solve a quadratic: Why d...

Question How to graph the parametric without calculator: $x=\sin t$ , $y=t^2$ I first make t by itself by doing the following: $\sqrt{y}=t$ and plugging i...

The problem I'm having with this proof is that I'm not sure if my proof actually proves the theorem correct or if I'm using circular reason...