Question Number 35627 by abdo mathsup 649 cc last updated on 21/May/18
$${study}\:{the}\:{convergence}\:{of}\: \\ $$$${I}\:\:=\int_{\mathrm{0}} ^{\infty} \:\:\:\:\:\:\:\:\frac{{dx}}{\left(\mathrm{1}+{x}^{\mathrm{2}} \mid{sinx}\mid\right)^{\frac{\mathrm{3}}{\mathrm{2}}} } \\ $$