(Solved):
1. Let f:[0,2]R be defined as f(x)=2x+1if0x<15ifx=1x2if1<x ...

1. Let $f:[0,2]→R$ be defined as $f(x)=⎩⎨⎧ 2x+1if0≤x<15ifx=1x_{2}if1<x≤2 $ Calculate $U(f,P)$ and $L(f,P)$. Is $f$ Riemann integrable? Justify your answer. Note: Consider a partition with length of each subinterval is $n1 $.