MathsJEE Main 4 Apr 2026, Shift 1·Q18·MCQ·Moderate

Area under Curves · Area between curves

The area of the region

\{(x, y) : y \le \pi - \lvert x\rvert,\ y \le \lvert x\sin x\rvert,\ y \ge 0\}

is:

(1) $1 + \dfrac{\pi^2}{8}$
(2) $2 + \dfrac{\pi^2}{4}$
(3) $\dfrac{\pi^2}{8} - 1$
(4) $4 + \dfrac{\pi^2}{2}$

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