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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 of the region bounded by the curve $y = sin x$ between $x = - π$ and $x = \frac{3 π}{2}$ is

Options:

Answer:

Solution:

(C) Required area is shaded : $A = 2 \int_{0}^{π} sin x d x + \int_{π}^{3 π /2} sin x d x = 2 [- cos x ∣_{0}^{π} + [- cos x]_{π}^{\frac{3 π}{2}}$ $= ∣2 [- cos π + cos 0] ∣ + [- cos (\frac{3 π}{2}) + cos π]$ $= 2 [- (- 1) + 1] + [0 + (- 1)]$ $= 2 (2) - (1) = 5 (unit)^{2}$

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

⏱ 2mℹ️ Source: PYQ_2020

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