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Suppose f is a real-valued differentiab...

Suppose `f` is a real-valued differentiable function defined on `[1,oo]` with `f(1)=1.` Moreover, suppose that `f` satisfies `f^(prime)(x)=1/(x^2+f^2(x))S howt h a tf(x)<1+pi/4AAxgeq1.`

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  14. Find the value of int(-1)^1d/(dx)(tan^(-1)(1/x))dx

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  18. The integral int0^(1. 5)[x^2]dx ,w h e r e[dot] denotoes the greatest ...

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