The area bounded by the parabolas y = 4 x 2 , y = 9 x 2 and the straight line y = 2 is

y = 4 x 2 , y = 9 x 2 , y = 2 A = 2 ∫ 0 2 ( 3 y − 2 y ) d y = 2 ∫ 0 2 2 5 y d y = 5 3/2 y 3/2 0 2 = 3 10 [ 2 3/2 ] = 3 20 2

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Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea bounded by two curvesMedium2 minPYQ_2021

MathematicsMediumsingle choice

The area bounded by the parabolas $y = 4 x^{2}, y = \frac{x ^{2}}{9}$ and the straight line $y = 2$ is

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Answer:

Solution:

$y = 4 x^{2}, y = \frac{x ^{2}}{9}, y = 2$
$A = 2 \int_{0}^{2} (3 y - \frac{y}{2}) d y = 2 \int_{0}^{2} \frac{5 y}{2} d y = 5 \frac{y ^{3/2}}{3/2}_{0}^{2} = \frac{10}{3} [2^{3/2}] = \frac{20 2}{3}$

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

⏱ 2mℹ️ Source: PYQ_2021

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