Let f ( x ) = x + sin x . The area bounded by y = f − 1 ( x ) , y = x , x ∈ [ 0 , π ] is

Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea bounded by two curvesMedium2 minQB

MathematicsMediumsingle choice

Let $f (x) = x + sin x$ . The area bounded by $y = f^{- 1} (x), y = x, x \in [0, π]$ is

Answer:

Solution:

The curves $y = x + sin x$ and $y = f^{- 1} (x)$ are mirror images in the line $y = x$ . Hence required area

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

⏱ 2mℹ️ Source: QB

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