Question

Let $f:\R\rightarrow\R$ be defined by
$f(x) = \begin{cases} x & \text{if}\ x\leq1 \\\ -x+2 & \text{if}\ x\gt1\end{cases}$
Then $\int^{2}_{0}f(x)dx=$

• A. $\frac{\pi}{2}$
• B. 1
• C. 2
• D. 4
• E. $\frac{\pi}{6}$

Answer 1

Answer: (B)

1

Answer 2

The correct option is (B): 1