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Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea of Curve along axisEasy2 minPYQ_2008

MathematicsEasysingle choice

Area bounded by the lines $y = x, x = - 1, x = 2$ and $x$ -axis is

Options:

Answer:

Solution:

Required area $= \int_{- 1}^{2} y d x$
$= \int_{- 1}^{0} y d x + \int_{0}^{2} y d x$ $= \int_{- 1}^{0} x d x + \int_{0}^{2} x d x$ $=∣ \frac{x ^{2}}{2}]_{1}^{0} ∣ + [\frac{x ^{2}}{2}]_{0}^{2} = \frac{5}{2}$ sq unit

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

⏱ 2mℹ️ Source: PYQ_2008

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