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16:32
Processing...
$\int\int\int\int sinx dx$
$$\int\int\int\int sinx dxdxdxdx = \int \int \:\int \int \:\sin \left(x\right)dxdxdxdx=\sin \left(x\right)+\frac{Cx^3}{6}+\frac{Cx^2}{2}+Cx+C$$
$$\int \int \:\int \int \:\int \sin \left(x\right)dxdxdxdxdx=-\cos \left(x\right)+\frac{Cx^4}{24}+\frac{Cx^3}{6}+\frac{Cx^2}{2}+Cx+C$$
$$\int \int \:\int \sin \left(x\right)dxdxdx=\cos \left(x\right)+\frac{Cx^2}{2}+Cx+C$$
Um there is a rule to this
$$\int \int \:\sin \left(x\right)dxdx=-\sin \left(x\right)+Cx+C$$
$$\int \sin \left(x\right)dx=-\cos \left(x\right)+C$$
So the rule is $-\cos(x), -\sin(x), \cos(x), \sin(x), ...$
Let's generalise the formula
17:14
$$\underbrace{\int\int...\int}_{N \text{ times}}sin(x)\underbrace{dx...dx}_{N \text{ times}}=0^{N\%2}\cdot \sin(x)\cdot(-1)^{(N / 2) \% 2}+0^{(N+1)\%2}\cdot \cos(x)\cdot(-1)^{((N + 1) / 2) \% 2} + \sum_{k=0}^{N-1}\frac{Cx^k}{k}$$
Yay finally got it!
Defining $0^0 = 1$.
Oops
Make that:
$$\underbrace{\int\int...\int}_{N \text{ times}}sin(x)\underbrace{dx...dx}_{N \text{ times}}=0^{N\%2}\cdot \sin(x)\cdot(-1)^{(N / 2) \% 2}+0^{(N+1)\%2}\cdot \cos(x)\cdot(-1)^{((N + 1) / 2) \% 2} + \sum_{k=0}^{N-1}\frac{Cx^k}{k!}$$
17:32
$$0^{\infty\%2}\cdot \sin(x)\cdot(-1)^{(\infty / 2) \% 2}+0^{(\infty+1)\%2}\cdot \cos(x)\cdot(-1)^{((\infty + 1) / 2) \% 2} + \sum_{k=0}^{\infty-1}\frac{Cx^k}{k!}$$
Nonsense
 
2 hours later…
![](i.sstatic.net/Cqescl.png "New zero-day vulnerability: In addition to rowhammer, it turns out lots of servers are vulnerable to regular hammers, too.")
Well, that did not work at all...
What is ![](...) for?

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