Name ONE(1) integral you can do that wolframalpha can't

3/(sin(x)+3^x)

>>9152325

[math]\int_0^{\pi/2}\frac{x^2\log{(\sin(x))}}{\sin^2(x)}dx=\pi\ln{(2)}-\frac{\pi}{2}\ln^2(2)-\frac{\pi^3}{12} [/math]

Exact values only.

velocity = c x (sqr root/sqr root)

any riemann integral

>>9152325
Let [math] \mathbb { Q } [/math] be the set of rational numbers, define: [eqn] f(x) = \cases { 1 \text { if } x \in \mathbb { Q } \\ 0 \text { if } x \notin \mathbb {Q} } [/eqn] Find [eqn] \int _{ [0,1] } f d \mu [/eqn]

>>9152347
here's -1.16096

>>9152425
>discontinuous everywhere
>integral

What did he mean by this

>>9152431
he means he did a course on measure theory and now thinks he's hotter shit than wolfram fucking alpha

>>9152431
>doesn't know about the Lebesgue integral

Brainlet detected

>>9152325
I don't know how good Wolfram is at integrating distributions, but I've taken enough Fourier and time-frequency analysis courses to probably know at least one such integral.

>>9152325
[eqn] \mbox{S}\; =\int_{0}^{1}{\int_{0}^{1}{\int_{0}^{1}{\int_{0}^{1}{\sqrt{\left( x_{1}-x_{2} \right)^{2}+\left( y_{1}-y_{2} \right)^{2}}dx_{1}dx_{2}dy_{1}dy_{2}}}}} [/eqn]
[eqn]
\mbox{S}\; =\; \frac{2\; +\; \sqrt{2}\; +\; 5\; \mbox{arcsinh}\left( 1 \right)}{15} [/eqn]

[eqn] \begin{split}\int
1000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000\\
0000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000\, \mathrm{d}x\end{split} [/eqn]

[math]\begin{split}\int 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000\\ 00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 \\
0000000000000000000000000000000 \\
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000\, \mathrm{d}x\end{split}[/math]

∫ 8=====>~ dx

thinly veiled Chloe thread

>>9152433
>replace measure theory with analysis and it's /sci/ in one post

>>9152657
lol

>>9152425
What is the answer and why?

>>9152673
Don't you mean Calculus?

What is integral

>>9154002
It's smart math talk for "calculus 102"

1/sin(ln(x))

X^x

File: Cleo.png (17KB, 706x262px) Image search: [Google]

17KB, 706x262px

>>9152325

>>9154700
wtf how

>>9154707
By the magic of Cleo, legendary math.stackoverflow user
https://math.stackexchange.com/users/97378/cleo
Used to annoy all the point-hunters by being first but not showing her work

img sauce: https://math.stackexchange.com/questions/562694/integral-int-11-frac1x-sqrt-frac1x1-x-ln-left-frac2-x22-x1/563063#563063

File: coolpepe.jpg (44KB, 1067x600px) Image search: [Google]

44KB, 1067x600px

>>9154700
>>9154752
>tfw people are keeping the mathematical tradition alive of "pulling a euler and solving a crazy problem gracefully and correctly with no further explanation so as to both piss off and amaze other mathematicians" on random math(meme) websites

Why can't I be as amazing and cool at math as Cleo

>>9152325
create something better than wolframalpha

>*ali g voice*
>will computers ever work what 999999999 multiplied by 999999999999...