Question

(sin^-1(x))/sqrt (1-x^(2))

Answer 1

is there an equal sign somewhere?

Answer 2

\[\int\limits \frac{ \arcsin x }{ \sqrt{1-x^2} }dx=\\ ?\]

Answer 3

if yes
use substitution u = arcsin x

Answer 4

\[\int\limits \frac{ \arcsin x }{ \sqrt{1-x^2} }dx=\\ u=\arcsin x \\du =\frac{ 1 }{ \sqrt{1-x^2}}dx\\\]

Answer 5

its turn to
\[\int\limits u du = \frac{ u^2 }{2 }+c = \frac{ (arcsinx)^2 }{2 }+c\]