The area of the region R = { ( x , y ) : 5 x 2 ≤ y ≤ 2 x 2 + 9 } is :

Required area = 2 ∫ 0 3 ( 2 x 2 + 9 − 5 x 2 ) d x = 2 [ 9 x − x 3 ] 0 3 = 2 [ 9 3 − 3 3 ] = 12 3 .

Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea bounded by two curvesEasy2 minPYQ_2023

MathematicsEasysingle choice

The area of the region
$R = {(x, y) : 5 x^{2} \leq y \leq 2 x^{2} + 9} is :$

Answer:

Solution:

$Required area = 2 \int_{0}^{3} (2 x^{2} + 9 - 5 x^{2}) d x = 2 [9 x - x^{3}]_{0}^{3} = 2 [93 - 33] = 123 .$

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

⏱ 2mℹ️ Source: PYQ_2023

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