Mr. Arc's Integral

Calculus Level 4

Mr. Arc the wizard wants to create an integral. He takes his magic cauldron and adds an asymptote and an interval of \(\Bbb R\). After sprinkling some salt he waves his wand and suddenly an integral pops out! However Mr. Arc is having trouble with this integral so he asks his witch friend Mrs. Sine. "Ahh \[\int^1_0\frac{\arcsin x}x\;\mathrm dx\]you say?" Mrs. Sine replies. Can you help the wizards and witches of Magic Manifold solve this integral?

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