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int(0)^(oo)(x)/((1+x)(1+x^(2))) dx equal...

`int_(0)^(oo)(x)/((1+x)(1+x^(2)))` dx equals to :

A

`pi/4`

B

`pi/2`

C

`pi/3`

D

cannot be evaluated

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • If int_(0)^(1) (e^(x))/( 1+x) dx = k , then int_(0)^(1) (e^(x))/( (1+x)^(2)) dx is equal to

    A
    `k-1+(e )/(2)`
    B
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    C
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    D
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