JEE Main 2025 Apr 3 Shift 1, Mathematics Q25: Area as Definite Integral

JEE Main2025Apr 3, Shift 1Mathematics

The area of the region bounded by the curve $y = max {∣ x ∣, x ∣ x - 2∣}$ , the x-axis and the lines $x = - 2$ and $x = 4$ is equal to ______.

Your answer

Solution

Required Area

$= \frac{1}{2} \times 2 \times 2 + \frac{1}{2} \times 3 \times 3 + \frac{1}{2} \times 1 \times 11$

$= 12$

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