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int0^oo(pi/(1+pi^2x^2)-1/(1+x^2))logxdxi...

`int_0^oo(pi/(1+pi^2x^2)-1/(1+x^2))logxdxi se q u a lto` `-pi/21npi` (b) 0 `pi/21n2` (d) none of these

A

`-(pi)/(2)ln pi`

B

0

C

`(pi)/(2)ln2`

D

none of these

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A
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FIITJEE-TIPS-OBJECTIVE
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  3. int0^oo(pi/(1+pi^2x^2)-1/(1+x^2))logxdxi se q u a lto -pi/21npi (b) ...

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  4. If f:RrarrR and g:R rarrR are two functions such that f(x)+f''(x)=-xg(...

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  5. The absolute maximum value of the function f(x)=((x+1)^(4))/(x^(4)-x^(...

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  8. If g(x)=max(y^(2)-xy)(0le yle1), then the minimum value of g(x) (for...

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  9. If f(x)=0 is a quadratic equation such that f(-pi)=f(pi)=0 and f(pi/2)...

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  12. If f[1, oo)rarr[1, oo) is defined by f(x)=2^(x(x-1)) then f^(-1)(x)=

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  13. Let f(x)={{:(x^(2)-ax+1",", x lt 0),(b(1-x)^(3)",", x ge0):}. If is a ...

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  14. Maximum number of real solution for the equation ax^(n)+x^(2)+bx+c=0...

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  17. lim(xrarroo)(sqrt(x+sqrtx)-sqrtx) is

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  19. If a function f:R rarr R determined by equation f(x)=-f(|x|) us

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  20. Let f be a differentiable function satisfying f(xy)=f(x).f(y).AA x gt...

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