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BITSAT2023MathematicsArea Under CurvesActual

The area enclosed between the curve y= _e(x+e) and the coordinate axes is

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

A. 1

Step-by-step solution

Required area A= _ 1-e ^0 y d x= _ 1-e ^0 _e(x+e) d x put x+e=t d x=d t also when x=1-e, t= 1 and when x=0, t=e A= ₁^e _e t d t= [t _e t-t ]₁^e e-e-0+1=1

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