integral arcsin(x)??

0 ⤊

integral arcsin(x)??

int arcsin(x)

2007-06-23 10:17:39 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

4 answers

Let s = int arcsin(x) dx
Put x = sin(u), dx = cos(u)du.
Then:
s = int u cos(u) du
= int u d(sin (u))
= u sin(u) - int sin(u) du
= u sin(u ) + cos(u) + c
s = x arcsin(x) + sqrt(1 - x^2) + c.

2007-06-23 10:27:48 · answer #1 · answered by Anonymous · 0⤊ 1⤋

x(sin^-1)x + sqrt(1-x^2) + constant

2007-06-23 17:23:43 · answer #2 · answered by Anonymous · 0⤊ 1⤋

= x arcsinx +sqrt(1-x^2) +C

2007-06-23 17:24:13 · answer #3 · answered by ironduke8159 7 · 0⤊ 2⤋

try by parts

2007-06-23 17:25:31 · answer #4 · answered by Theta40 7 · 0⤊ 1⤋