If $F(x)=2 \int\limits_0^x f(t) d t$ and $f(x)=\left\{\begin{array}{l}x, 0 \leq x<1 \\ \sin \pi x, x \geq 1\end{array}\right.$, then
Answer & explanation
Correct answer: option 2
$F'(x)=f(x) \Rightarrow F'\left(\frac{3}{2}\right)=\sin \frac{3 \pi}{2}=-1$
Hence (2) is the correct answer.