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  4. If a, b >0 and ∫ limits0∞ ( ln (b x)/x2+a2) d x=(π/2 a) then the value of (a b) is

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Q. If $a, b >0$ and $\int\limits_0^{\infty} \frac{\ln (b x)}{x^2+a^2} d x=\frac{\pi}{2 a}$ then the value of $(a b)$ is

Integrals

Solution:

Correct answer is (c) e