integrating inverse functions?

∫ arcsin(e^x)

2007-10-25 13:46:04 · 1 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

1 answers

Sorry, this integral is not elementary. It involves the
dilogarithm function. Let's convert it to a standard
nonelementary form.
Let u = e^x, x = ln u, dx = du/u
So we get
∫ arcsin(u) du /u,
which is a standard nonelementary form.

2007-10-25 14:26:35 · answer #1 · answered by steiner1745 7 · 0⤊ 0⤋

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