@RR. I also met a guy on reddit once who was so so so so so so so so so similar to me, like so so so so so similar. we were from the same state, birthday one day apart, and a lot
$f:[0,1]\to\Bbb R$ is a continuous function such that $f(1-x) = \dfrac1{f(x)}$ for all $x\in[0,1]$. The possible values of $\displaystyle\int_0^1 f(x)\mathrm dx$ are : a) $\pi$ b) $\dfrac7{22}$ c) $e$ d) $\dfrac 1e$