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Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea bounded by two curvesEasy2 minPYQ_2024

MathematicsEasysingle choice

The area of the region(s) enclosed by the curves $y = x^{2}$ and $y = ∣ x ∣$ is

Options:

Answer:

Solution:

$Area = 2 \int_{0}^{1} (x - x^{2}) d x = 2 [\frac{2}{3} (x x) - \frac{x ^{3}}{3}]_{0}^{1} = 2 [\frac{2}{3} - \frac{1}{3}] = 2 \times \frac{1}{3} = \frac{2}{3}$

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

⏱ 2mℹ️ Source: PYQ_2024

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