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JEE Main 20253 AprilMorning Shift
Exam
JEE Main
Year
2025
Date
3 April
Shift
Morning Shift
Subject
Mathematics
Chapter
Area Under Curves

JEE Main 2025 · 3 April · Morning Shift · Mathematics · Area Under Curves

The area of the region bounded by the curve y= \ |x|, x|x-2|\ ,...

The area of the region bounded by the curve y=max⁡{∣x∣,x∣x−2∣}y=\max \{|x|, x|x-2|\}, then xx-axis and the lines x=−2x=-2 and x=4x=4 is equal to _______ .

Correct answer

0

Step-by-step solution

 Required Area =12×2×2+12×3×3+12×1×11=12\begin{aligned} & \text{ Required Area }=\frac{1}{2} \times 2 \times 2+\frac{1}{2} \times 3 \times 3+\frac{1}{2} \times 1 \times 11 \\ & =12\end{aligned}
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