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The area between the curve y = e^(x) and...

The area between the curve `y = e^(x)` and x-axis which lies between `x = – 1 and x = 1` is-

A

`e^(2) - 1`

B

`(e^(2)-1)//e`

C

`(1-e)//e`

D

`(e-1)//e^(2)`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The area between the curves y = 6 – x – x^(2) and x-axis is-

    A
    `125//6`
    B
    `125//2`
    C
    `25//6`
    D
    `25//2`

  • The area between the curve y = sec x and y-axis when 1le y le 2 is-

    A
    `(2pi)/3 -log (2+sqrt(3))`
    B
    `(2pi)/3 +log (2+sqrt(3))`
    C
    `(pi)/3 -1/2log (2+sqrt(3))`
    D
    None of these

  • The area between the curve y = 1 - |x| and the x- axis is equal to

    A
    1 sq. unit
    B
    `(1)/(2)` sq. unit
    C
    `(1)/(3)` sq. unit
    D
    2sq. Unit

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