Question

How would you integrate arcsin(x) ?

Answer 1

integration by parts

Answer 2

\[\int\limits fg' dx+\int\limits f'g dx=\int\limits (fg)' \\ \\ \int\limits f g'dx+\int\limits f' g dx=fg \\ \int\limits f g'dx=fg-\int\limits f'g dx \\ \text{ \choose } g'=1 \text{ and } f=\arcsin(x)\]

Answer 3

better to memorize its Simple formula ,integral arcsin u = :P