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Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea of Curve along axisMedium2 minPYQ_2023

MathematicsMediumsingle choice

The area (in $s q$ . units) bounded by the curve $y = x ∣ x ∣, X$ -axis and the lines $x = - 1$ and $x = 1$ is

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Answer:

Solution:

$y = x ∣ x ∣... [G i v e n]$ Required area $= \int_{- 1}^{1} x ∣ x ∣ d x = 2 \int_{0}^{1} x^{2} d x \dots [∵ Area is always positive] = 2 \times [\frac{x ^{3}}{3}]_{0}^{1} = 2 \times (\frac{1}{3} - 0) = \frac{2}{3} sq.units$

Stream:MHT_CETSubject:MathematicsTopic:Area Under CurvesSubtopic:Area of Curve along axis

⏱ 2mℹ️ Source: PYQ_2023

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