Let f(x) = -2, -2 ≤ x ≤ 0 x - 2, 0 < x ≤ 2 and h(x) = f(|x|) + |f… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 4 April, Shift 1Definite Integrals

Let

f(x) = \begin{cases} -2, & -2 \le x \le 0 \\ x - 2, & 0 < x \le 2 \end{cases}

and $h(x) = f(|x|) + |f(x)|$ . Then $\displaystyle \int_{-2}^{2} h(x)\,dx$ is equal to:

Answer & step-by-step solution

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