how to integrate arccos(x)*arcsin(x)?

Question:how to integrate arccos(x)*arcsin(x)?

Posted: lcz 1034 Product: Maple 2020

April 17 2020

This Anti-derivative of arccos(x)*arcsin(x), Maple 2020 cannot do that? It seems not difficult.

int(arccos(x)*arcsin(x),x)

In Mathematica, we can easily to get output :

2 x - Sqrt[1 - x^2] ArcSin[x] + ArcCos[x] (Sqrt[1 - x^2] + x ArcSin[x])

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