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Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea of Curve along axisEasy2 minPYQ_2020

MathematicsEasysingle choice

The area bonded by the curve $y = sin^{2} x, x$ -axis and the lines $x = 0$ and $x = \frac{π}{2}$ is

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Answer:

Solution:

Required area is shaded. $A = \int_{0}^{π /2} sin^{2} x d x = \int_{0}^{π /2} \frac{1 - cos 2 x}{2} d x = \frac{1}{2} [x]_{0}^{\frac{π}{2}} - \frac{1}{4} [sin 2 x]_{0}^{\frac{π}{2}} = \frac{π}{4} - 0 = \frac{π}{4}$

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

⏱ 2mℹ️ Source: PYQ_2020

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