# Looking for peaks.

Calculus Level 5

$f:[0,1]\rightarrow R$

$f'(x)$ is continuous such that $\int_{0}^{1}f(x)dx=0$

If maximum absolute value of f '(x) is 24

Then the absolute value of $\int_{0}^{x}f(t)dt$is k $x\epsilon[0,1]$ find $8k^2$

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