Q:

Integral of function smaller equal to the absolute value of the function?

my question is if following inequality is true?
$$ \int_{0}^{t} f(t) dt \le |f(t)|$$
Is that a true statement? I cannot find a counter example to disprove that inequality. 
Thank for help.

A:

I think you mean $\int_{0}^{t} f(x) dx \le |f(t)|$.
Look at $f(x)=x$ and $t=3$.

