Difference between revisions of "Antiderivative of arcsin"
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Revision as of 07:28, 8 June 2016
Theorem
The following formula holds: $$\displaystyle\int \mathrm{arcsin}(z) \mathrm{d}z = \sqrt{1-z^2}+z\mathrm{arcsin}(z)+C,$$ where $\mathrm{arcsin}$ denotes the inverse sine function.