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JEE Main 20245 AprilEvening Shift
Exam
JEE Main
Year
2024
Date
5 April
Shift
Evening Shift
Subject
Mathematics
Chapter
Area Under Curves

JEE Main 2024 · 5 April · Evening Shift · Mathematics · Area Under Curves

The area enclosed between the curves y=x|x| and y=x-|x| is :

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

Options

  1. A43\frac{4}{3}
  2. B1
  3. C23\frac{2}{3}
  4. D83\frac{8}{3}

Correct answer

A. 43\frac{4}{3}

Step-by-step solution

The area enclosed between the curves y=x|x| and y=x-|x| is :
A=∫−20−x2−2x=43A=\int_{-2}^0-x^2-2 x=\frac{4}{3}
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