Area bounded by the curve y = sin x , y = cos x , x = − 3 π , x = 2 π

A = ∫ − π /3 2 π ∣ sin x − cos x ∣ d x = 4 2 + 2 3 + 1 .

Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea bounded by Miscellaneous CurvesMedium2 minQB

MathematicsMediumsingle choice

Area bounded by the curve $y = sin x, y = cos x, x = - \frac{π}{3}, x = 2 π$

Answer:

Solution:

$A = \int_{- π /3}^{2 π} ∣ sin x - cos x ∣ d x = 42 + \frac{3 + 1}{2}$ .

Stream:JEESubject:MathematicsTopic:Area Under CurvesSubtopic:Area bounded by Miscellaneous Curves

⏱ 2mℹ️ Source: QB

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