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int0^oo x/((1+x)(1+x^2)) dx...

`int_0^oo x/((1+x)(1+x^2)) dx`

A

`pi/4`

B

`pi/2`

C

is same as `int _(0) ^(oo) (dx )/((1+ x)(1+ x ^(2)))`

D

cannot be evaluated

Text Solution

Verified by Experts

The correct Answer is:
A, C
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Knowledge Check

  • If int_(0)^(oo) (log(1+x^(2)))/(1+x^(2))dx=kint_(0)^(oo) (log(1+x))/(1+x^(2))dx , then k=

    A
    4
    B
    8
    C
    `pi`
    D
    `2pi`

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