Question

\[\Large \text {If}\ \Large f(x) = x^3 - \frac{ 3 }{ 2 }x^2 + x + \frac{ 1 }{ 4 }\]
Find
\[\Large \int\limits_{1/4}^{3/4} f(f(x)) dx\]

Answer 1

1/4

Answer 2

not much of a challenge if you just give out the answer :(

Answer 3

hey @shamil98 do you have a solution ?
i feel it must be using some clever substitution...

Answer 4

Yeah.
do you want me to post it or give out the first step?

Answer 5

I'm too lazy to type this up in LaTeX.

Answer 6

Wottttttt

Answer 7

Awesome! pretty sure you have realized there is a typo :