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If P = int (0) ^(oo) (x ^(2))/(1+ x ^(4)...

If `P = int _(0) ^(oo) (x ^(2))/(1+ x ^(4)) dx , Q = int _(0) ^(oo) (x dx )/(1 + x ^(4)) and R = int _(0) ^(oo) (dx )/(1+ x ^(4))` then prove that
(a) `Q = pi/4`
(b) ` P =R`
(c ) `P- sqrt2 Q + R = (-pi)/(2 sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
` int _(0) ^(1)
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