QJEEM22Ma4c58: JEE Main 2022 Mathematics - Class 12 JEEM22Ma4c58 Solution: The area (in sq. units) of the region enclosed between the…

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The area (in sq. units) of the region enclosed between the parabola y² = 2x and the line x + y = 4 is __________.

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JEE Main 2022 (Online) 24th June Evening Shift Mathematics - Area Under The Curves Question 71 English Explanation

The required area $= \int_{- 4}^{2} (4 - y - \frac{y^{2}}{2}) d y$

$= {[4 y - \frac{y^{2}}{2} - \frac{y^{3}}{6}]}_{- 4}^{2}$

$= 18$ square units

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