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Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea of Curve along axisMedium2 minPYQ_2021

MathematicsMediumsingle choice

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

Options:

Answer:

Solution:

Required area shaded
$A = \int_{- 1}^{0} x d x + \int_{0}^{2} x d x = [\frac{x ^{2}}{2}]_{- 1}^{0} + [\frac{x ^{2}}{2}]_{0}^{2} = \frac{1}{2} + 2 = \frac{5}{2}$

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

⏱ 2mℹ️ Source: PYQ_2021

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