jee-main 2025 Q75

jee-main · India · session2_02apr_shift1 Indefinite & Definite Integrals Piecewise/Periodic Function Integration
Q75. Let $f ( x ) = \left\{ \begin{array} { l l } - 2 , & - 2 \leq x \leq 0 \\ x - 2 , & 0 < x \leq 2 \end{array} \right.$ and $h ( x ) = f ( | x | ) + | f ( x ) |$. Then $\int _ { - 2 } ^ { 2 } h ( x ) \mathrm { d } x$ is equal to :
(1) 1
(2) 6
(3) 4
(4) 2
Q75. Let $f ( x ) = \left\{ \begin{array} { l l } - 2 , & - 2 \leq x \leq 0 \\ x - 2 , & 0 < x \leq 2 \end{array} \right.$ and $h ( x ) = f ( | x | ) + | f ( x ) |$. Then $\int _ { - 2 } ^ { 2 } h ( x ) \mathrm { d } x$ is equal to :\\
(1) 1\\
(2) 6\\
(3) 4\\
(4) 2