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Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea bounded by two curvesMedium2 minPYQ_2022

MathematicsMediumsingle choice

Area of the region bounded by the curve $y = x^{2} + 2$ and the lines $y = x, x = 0$ and $x = 3$ is

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Answer:

Solution:

$Required area = \int_{0}^{3} (x^{2} + 2 - x) d x = [\frac{x ^{3}}{3} + 2 x - \frac{x ^{2}}{2}]_{0}^{3} = \frac{27}{3} + 6 - \frac{9}{2} = \frac{21}{2}$

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

⏱ 2mℹ️ Source: PYQ_2022

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