User:Plynch22

Hello, and thank you for wasting your time visiting my user page. My name is Paul and I will leave my last name a really tough mystery for you to solve.

I have been told that I sometimes over-complicate things. I know FOR A FACT that $$2-1\ne 1$$, because the truth is $$\int_1^2 \left(\frac{d}{dx}\left( x\right)\right)dx=1$$. You can't always believe what people say about you.

My Problem
One thing I would really appreciate is if a sadistic Calc 202 teacher could have their students evaluate this problem for me in both exact notation and approximation.

When $$ \vec r(u,v)=\left\langle \left(\pi+\frac{\cos v}{\sqrt[\pi]{2^{e}}}\right)\cos u,\left(\pi+\frac{\cos v}{\sqrt[\pi]{2^{e}}}\right)\sin u, \frac{\sin v}{\sqrt[\pi]{2^{e}}}\right\rangle$$, evaluate


 * $$\int_0^5\int_5^{e^4+\sin^2(x)}\left.\frac{\int_0^{e^{\pi}}\int_{1024\sqrt[e]{\pi}}^{2000}\int_{\sin e}^{\int_{\int_0^{2\pi}\sin^2 x \; dx}^{13}\int_0^{\sum_{q=0}^{1000} \sin^2 q} \left| \frac{\partial\vec r}{\partial v}\times \frac{\partial\vec r}{\partial u}\right|\;\partial u\;\partial v}\left. \dfrac{\dfrac{\sqrt[\sqrt[a]{b}]{c}}{\prod_{k=1}^{\sum_{t=0}^{19}6^t} k^2}}{\int_0^9\sin^2\left( e^f\right)\;df}\right.\;\partial c\;\partial b\;\partial a}{x^\sqrt{g}}\right.\;\partial g\;\partial x$$

Sadistic calc problem currently under construction.

Of course, I also like Boobs and Alcohol and the chemical $\Delta^9$-tetrahydrocannabinol.