# Simplify integration result with conditions

Let's say I have integral

Integrate[1/(1 + (f^2/B^2)), {f, 0, Infinity}]


The result is

$$\text{ConditionalExpression}\left[\frac{\pi }{2 \sqrt{\frac{1}{B^2}}},\Im\left(B^2\right)\neq 0\lor \Re\left(B^2\right)\geq 0\right]$$ How can I agree to these conditions and have the Mathematica simplify this result to: $$B\frac{\pi}{2}$$ Or is this possible?

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Just specify the Assumptions for the Integrate:
Integrate[1/(1 + (f^2/B^2)), {f, 0, Infinity},

Integrate[1/(1 + (f^2/B^2)), {f, 0, Infinity}, GenerateConditions -> False]

π/(2 Sqrt[1/B^2])