Start Free Mock LoginAlready registered? Login here

Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea of Curve along axisEasy2 minPYQ_2020

MathematicsEasysingle choice

The area bounded by the parabola $x^{2} = 4 y$ and the lines $y = 2, y = 4$ and $Y$ -axis is

Options:

Answer:

Solution:

Required area is shaded. $A = 2 \int_{2}^{4} (2 y) d y = 4 \int_{2}^{4} y^{\frac{1}{2}} d y = 4 [\frac{y ^{\frac{3}{2}}}{( \frac{3}{2} )}]_{2}^{4} = \frac{8}{3} [44 - 22] = \frac{8}{3} (8 - 22)$

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

⏱ 2mℹ️ Source: PYQ_2020

Doubts & Discussion

Loading discussions...