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If f:[0,1] to [0,oo) is differentiable f...

If `f:[0,1] to [0,oo)` is differentiable function with decreasing first derivative such that f(0)=0 and `f'(x) gt 0`, then

A

`int _0 ^ 1 1/(f^2(x)+1)dx gt f(1)/(f'(1))`

B

`int _0 ^ 1 1/(f^2(x)+1)dx lt f(1)/(f'(1))`

C

`int _0 ^ 1 1/(f^2(x)+1)dx le tan ^(-1) (f(1)/(f'(1)))`

D

`int _0 ^ 1 1/(f^2(x)+1)dx=f(1)/(f'(1))`

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