Do I need to know special functions?

Calculus Level 4

Given \(\displaystyle I= \int^{\pi/2}_{0} \frac{x}{\sin (x)} \, dx\) and \(\displaystyle J = \int^1_0 \frac{\tan^{-1}( x)}{x}\, dx\), find the value of \(\dfrac I J \).

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