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Evaluate the integralsint-1^1 (dx)/(x^2+...

Evaluate the integrals`int_-1^1 (dx)/(x^2+2x+5)`

Text Solution

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Given `I=int_-1^1 (dx)/(x^2+2x+5)`
`=int_-1^1 (dx)/((x+1)^2+4)`
=`1/2tan^(-1)((x+1)/2)\_-1^1`
=`1/2tan^(-1)(2/2)-1/2tan^(-1)((-1+1)/2)`
...
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Knowledge Check

  • The value of integral int_(-1)^(1)(|x+2|)/(x+2) dx is

    A
    1
    B
    2
    C
    0
    D
    `-1`

  • The value of integral int_(-1)^(1) (|x+2|)/(x+2)dx is

    A
    1
    B
    2
    C
    0
    D
    `-1`

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