I need to solve the following integral $$\int_0^\infty \frac{1}{1+x}\exp(-ax)\sqrt{bx^2}K_1(\sqrt{bx^2})dx$$ where $a$ and $b$ are positive constants. $K_1(x)$ is the modified bessel function of the second kind and first order. Any help in this regard will be much appreciated. Thanks in advance.
2026-03-25 01:24:46.1774401886
How to solve this integral which includes Bessel function, exponential?
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