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Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea bounded by two curvesEasy2 minPYQ_2022

MathematicsEasysingle choice

There are (in square units) of the region bounded by the parabola $y = x^{2} + 2$ and the lines $y = x + 1, x = 0$ and $x = 3$ is

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Solution:

Required area $= \int_{0}^{3} {(x^{2} + 2) - (x + 1)} d x = [\frac{x ^{3}}{3} + 2 x - \frac{x ^{2}}{2} - x]_{0}^{3} = (9 + 6 - \frac{9}{2} - 3) - 0 = \frac{15}{2}$

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

⏱ 2mℹ️ Source: PYQ_2022

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