The area of the region containing the points satisfying ∣ y ∣ + 2 1 ≤ e − ∣ x ∣ , max ( ∣ x ∣ , ∣ y ∣ ) ≤ 2 is

From the graph (region inside the square bounded by ∣ y ∣ ≤ e − ∣ x ∣ − 2 1 ), required area = 2 lo g ( 2 e ) .

Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea bounded by Miscellaneous CurvesMedium2 minQB

MathematicsMediumsingle choice

The area of the region containing the points satisfying $∣ y ∣ + \frac{1}{2} \leq e^{- ∣ x ∣}, max (∣ x ∣, ∣ y ∣) \leq 2$ is

Answer:

Solution:

From the graph (region inside the square bounded by $∣ y ∣ \leq e^{- ∣ x ∣} - \frac{1}{2}$ ), required area $= 2 lo g (\frac{e}{2})$ .

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

⏱ 2mℹ️ Source: QB

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