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The area (in sq. units) bounded by the c...

The area (in sq. units) bounded by the curve `y=|x-pi|+|x-e|`, the ordinates at its points of non - differentiability and the x - axis is

A

`pi+2e`

B

`2pi+e`

C

`(pi-e)^(2)`

D

`pi^(2)-e^(2)`

Text Solution

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The correct Answer is:
To find the area bounded by the curve \( y = |x - \pi| + |x - e| \), the ordinates at its points of non-differentiability, and the x-axis, we will follow these steps: ### Step 1: Identify Points of Non-Differentiability The function \( y = |x - \pi| + |x - e| \) is non-differentiable at the points where the expressions inside the absolute values change sign. This occurs at \( x = e \) and \( x = \pi \).
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