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Mathematics · Area under the Curves

JEE Main 2024 — 5 April, Shift 2 — Question 4

The area enclosed between the curves y=x∣x∣y=x|x| and y=x−∣x∣\mathrm{y}=\mathrm{x}-|\mathrm{x}| is :

  1. Option A:

    83\frac{8}{3}

  2. Option B:

    23\frac{2}{3}

  3. Option C:

    1

  4. Option D:

    43\frac{4}{3}

    Correct

Answer: D

Step-by-step solution

A=∫−20−x2−2x=43A=\int_{-2}^{0}-x^{2}-2 x=\frac{4}{3}

Solution figure

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Exam
JEE Main 2024
Paper
5 April, Shift 2
Subject
Mathematics
Chapter
Area under the Curves
Topic
Area under the Curves
The area enclosed between the curves y=x x and y = x - x is : | JEE Main 2024 PYQ with Solution · DhiX AI