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Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea bounded by two curvesMedium2 minPYQ_2018

MathematicsMediumsingle choice

The area of the region bounded by $x^{2} = 4 y, y = 1, y = 4$ and the $y-$ axis lying in the first quadrant is _______ square units.

Options:

Answer:

Solution:

Required area $A= \int_{1}^{4} x d y = 2 \int_{1}^{4} \sqrt{y} d y$
$A = 2 {(\frac{y^{\frac{3}{2}}}{\frac{3}{2}})}_{1}^{4}$
$A = \frac{4}{3} (8 - 1) = \frac{4}{3} (7) = \frac{28}{3}$

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

⏱ 2mℹ️ Source: PYQ_2018

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