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Question

Mathematics Question on Continuity and differentiability

If f(x)={x20x2 22x0f(x) = \begin{cases} x-2 & \quad 0\leq x\leq2\\\ -2 & \quad -2\leq x\leq0 \end{cases} and h(x)=f(x)+f(x),0kh(x)dxh(x) = f(|x|) + |f(x)|, \int\limits^{k}_{0} h(x) dx is equal to _____.(k>0)

A

0

B

k2\frac{k}{2}

C

2k

D

K

Answer

0

Explanation

Solution

The correct answer is option (A): 0