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Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea of Curve along axisEasy2 minPYQ_2016

MathematicsEasysingle choice

The area of the region bounded by the curve $y = 2 x - x^{2}$ and $x -$ axis is

Options:

Answer:

Solution:

$A = \int_{0}^{2} (2 x - x^{2}) d x$
$\Rightarrow A = {[x^{2} - \frac{x^{3}}{3}]}_{0}^{2}$
$\Rightarrow A = [4 - \frac{8}{3}]$
$\Rightarrow A = \frac{4}{3} s q u n i t s$

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

⏱ 2mℹ️ Source: PYQ_2016

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