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Question Number 151060 by qaz last updated on 18/Aug/21

$$\mathrm{Calculate}::{\int }_0^{\mathrm{\infty }}\frac{\mathrm{x}\sqrt{\mathrm{x}}}{({\mathrm{x}}^2+1)(1+\mathrm{ax})}\mathrm{dx}=\frac{{\mathrm{a}}^2-\mathrm{a}+\sqrt{2\mathrm{a}}}{\sqrt{2}\mathrm{a}(1+{\mathrm{a}}^2)}\pi ,(\mathrm{a}>0)$$

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