{\displaystyle \int \limits _{a}^{b},円} This user knows the difference between an
integral and an
antiderivative ; and so should you!
{\displaystyle \int ,円} This user tries to do the right thing. If they make a mistake, please
let them know .
C# This user can program in
C# .
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 {\displaystyle 2-1\neq 1}, because the truth is {\displaystyle \int _{1}^{2}\left({\frac {d}{dx}}\left(x\right)\right)dx=1}. You can't always believe what people say about you.
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 {\displaystyle {\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
- {\displaystyle \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 {\displaystyle \Delta ^{9}}-tetrahydrocannabinol.
