Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea bounded by two curvesEasy2 minPYQ_2010

MathematicsEasysingle choice

The area bounded by the curves $y = cos x$ and $y = sin x$ between the ordinates $x = 0$ and $x = \frac{3 π}{2}$ is

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Answer:

Solution:

$\int_{0}^{\frac{π}{4}} (cos x - sin x) d x + \int_{\frac{π}{4}}^{\frac{5 π}{4}} (sin x - cos x) d x + \int_{\frac{5 π}{4}}^{\frac{3 π}{2}} (cos x - sin x) = 42 - 2$

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

⏱ 2mℹ️ Source: PYQ_2010

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