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Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea bounded by two curvesMedium2 minPYQ_2023

MathematicsMediumsingle choice

The area of the region bounded by the parabola $y = x^{2}$ and the curve $y = ∣ x ∣$ is

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Answer:

Solution:

$Required area = 2 \int_{0}^{1} (x - x^{2}) d x = 2 [\frac{x ^{2}}{2} - \frac{x ^{3}}{3}]_{0}^{1} = 2 (\frac{1}{2} - \frac{1}{3}) = \frac{1}{3} sq.units$

Stream:MHT_CETSubject:MathematicsTopic:Area Under CurvesSubtopic:Area bounded by two curves

⏱ 2mℹ️ Source: PYQ_2023

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